Finding the Third Proportional to 82,827,647.50 and 180,199,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,827,647.50 : 180,199,572.50 = 180,199,572.50 : x
2. Step 2: Convert to fraction form
   82,827,647.50/180,199,572.50 = 180,199,572.50/x
3. Step 3: Cross multiply
   82,827,647.50x = 180,199,572.50 × 180,199,572.50
4. Step 4: Simplify right side
   82,827,647.50x = 32,471,885,929,182,756
5. Step 5: Solve for x
   x = 32,471,885,929,182,756/82,827,647.50
6. Step 6: Final answer
   x = 392,041,629.93