Finding the Third Proportional to 86,407.50 and 123,563.25

Step by Step Solution

1. Step 1: Write the proportion equation
   86,407.50 : 123,563.25 = 123,563.25 : x
2. Step 2: Convert to fraction form
   86,407.50/123,563.25 = 123,563.25/x
3. Step 3: Cross multiply
   86,407.50x = 123,563.25 × 123,563.25
4. Step 4: Simplify right side
   86,407.50x = 15,267,876,750.56
5. Step 5: Solve for x
   x = 15,267,876,750.56/86,407.50
6. Step 6: Final answer
   x = 176,696.20