Finding the Third Proportional to 91,431 and 137,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,431 : 137,146.50 = 137,146.50 : x
2. Step 2: Convert to fraction form
   91,431/137,146.50 = 137,146.50/x
3. Step 3: Cross multiply
   91,431x = 137,146.50 × 137,146.50
4. Step 4: Simplify right side
   91,431x = 18,809,162,462.25
5. Step 5: Solve for x
   x = 18,809,162,462.25/91,431
6. Step 6: Final answer
   x = 205,719.75