Finding the Third Proportional to 72,694 and 156,524

Step by Step Solution

1. Step 1: Write the proportion equation
   72,694 : 156,524 = 156,524 : x
2. Step 2: Convert to fraction form
   72,694/156,524 = 156,524/x
3. Step 3: Cross multiply
   72,694x = 156,524 × 156,524
4. Step 4: Simplify right side
   72,694x = 24,499,762,576
5. Step 5: Solve for x
   x = 24,499,762,576/72,694
6. Step 6: Final answer
   x = 337,025.92