Finding the Third Proportional to 586,204,401,072 and 1,269,748,731,404

Step by Step Solution

1. Step 1: Write the proportion equation
   586,204,401,072 : 1,269,748,731,404 = 1,269,748,731,404 : x
2. Step 2: Convert to fraction form
   586,204,401,072/1,269,748,731,404 = 1,269,748,731,404/x
3. Step 3: Cross multiply
   586,204,401,072x = 1,269,748,731,404 × 1,269,748,731,404
4. Step 4: Simplify right side
   586,204,401,072x = 1,612,261,840,902,067,220,119,552
5. Step 5: Solve for x
   x = 1,612,261,840,902,067,220,119,552/586,204,401,072
6. Step 6: Final answer
   x = 2,750,340,730,901.55