Finding the Third Proportional to 89,057.50 and 127,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,057.50 : 127,569.50 = 127,569.50 : x
2. Step 2: Convert to fraction form
   89,057.50/127,569.50 = 127,569.50/x
3. Step 3: Cross multiply
   89,057.50x = 127,569.50 × 127,569.50
4. Step 4: Simplify right side
   89,057.50x = 16,273,977,330.25
5. Step 5: Solve for x
   x = 16,273,977,330.25/89,057.50
6. Step 6: Final answer
   x = 182,735.62