Finding the Third Proportional to 91,428.50 and 137,142.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,428.50 : 137,142.75 = 137,142.75 : x
2. Step 2: Convert to fraction form
   91,428.50/137,142.75 = 137,142.75/x
3. Step 3: Cross multiply
   91,428.50x = 137,142.75 × 137,142.75
4. Step 4: Simplify right side
   91,428.50x = 18,808,133,877.56
5. Step 5: Solve for x
   x = 18,808,133,877.56/91,428.50
6. Step 6: Final answer
   x = 205,714.13