Finding the Third Proportional to 88,969.50 and 138,557.25

Step by Step Solution

1. Step 1: Write the proportion equation
   88,969.50 : 138,557.25 = 138,557.25 : x
2. Step 2: Convert to fraction form
   88,969.50/138,557.25 = 138,557.25/x
3. Step 3: Cross multiply
   88,969.50x = 138,557.25 × 138,557.25
4. Step 4: Simplify right side
   88,969.50x = 19,198,111,527.56
5. Step 5: Solve for x
   x = 19,198,111,527.56/88,969.50
6. Step 6: Final answer
   x = 215,783.07