Finding the Third Proportional to 91,681 and 145,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,681 : 145,882.50 = 145,882.50 : x
2. Step 2: Convert to fraction form
   91,681/145,882.50 = 145,882.50/x
3. Step 3: Cross multiply
   91,681x = 145,882.50 × 145,882.50
4. Step 4: Simplify right side
   91,681x = 21,281,703,806.25
5. Step 5: Solve for x
   x = 21,281,703,806.25/91,681
6. Step 6: Final answer
   x = 232,127.75