Finding the Third Proportional to 536,512 and 1,160,140

Step by Step Solution

1. Step 1: Write the proportion equation
   536,512 : 1,160,140 = 1,160,140 : x
2. Step 2: Convert to fraction form
   536,512/1,160,140 = 1,160,140/x
3. Step 3: Cross multiply
   536,512x = 1,160,140 × 1,160,140
4. Step 4: Simplify right side
   536,512x = 1,345,924,819,600
5. Step 5: Solve for x
   x = 1,345,924,819,600/536,512
6. Step 6: Final answer
   x = 2,508,657.44