Finding the Third Proportional to 75,196.50 and 156,612.38

Step by Step Solution

1. Step 1: Write the proportion equation
   75,196.50 : 156,612.38 = 156,612.38 : x
2. Step 2: Convert to fraction form
   75,196.50/156,612.38 = 156,612.38/x
3. Step 3: Cross multiply
   75,196.50x = 156,612.38 × 156,612.38
4. Step 4: Simplify right side
   75,196.50x = 24,527,436,003.14
5. Step 5: Solve for x
   x = 24,527,436,003.14/75,196.50
6. Step 6: Final answer
   x = 326,177.89