Finding the Third Proportional to 81,576 and 114,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,576 : 114,877.50 = 114,877.50 : x
2. Step 2: Convert to fraction form
   81,576/114,877.50 = 114,877.50/x
3. Step 3: Cross multiply
   81,576x = 114,877.50 × 114,877.50
4. Step 4: Simplify right side
   81,576x = 13,196,840,006.25
5. Step 5: Solve for x
   x = 13,196,840,006.25/81,576
6. Step 6: Final answer
   x = 161,773.56