Finding the Third Proportional to 520,731 and 781,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   520,731 : 781,096.50 = 781,096.50 : x
2. Step 2: Convert to fraction form
   520,731/781,096.50 = 781,096.50/x
3. Step 3: Cross multiply
   520,731x = 781,096.50 × 781,096.50
4. Step 4: Simplify right side
   520,731x = 610,111,742,312.25
5. Step 5: Solve for x
   x = 610,111,742,312.25/520,731
6. Step 6: Final answer
   x = 1,171,644.75