Finding the Third Proportional to 72,666 and 156,463

Step by Step Solution

1. Step 1: Write the proportion equation
   72,666 : 156,463 = 156,463 : x
2. Step 2: Convert to fraction form
   72,666/156,463 = 156,463/x
3. Step 3: Cross multiply
   72,666x = 156,463 × 156,463
4. Step 4: Simplify right side
   72,666x = 24,480,670,369
5. Step 5: Solve for x
   x = 24,480,670,369/72,666
6. Step 6: Final answer
   x = 336,893.05