Finding the Third Proportional to 91,462.50 and 137,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,462.50 : 137,437.50 = 137,437.50 : x
2. Step 2: Convert to fraction form
   91,462.50/137,437.50 = 137,437.50/x
3. Step 3: Cross multiply
   91,462.50x = 137,437.50 × 137,437.50
4. Step 4: Simplify right side
   91,462.50x = 18,889,066,406.25
5. Step 5: Solve for x
   x = 18,889,066,406.25/91,462.50
6. Step 6: Final answer
   x = 206,522.52