Finding the Third Proportional to 88,974 and 138,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,974 : 138,568.50 = 138,568.50 : x
2. Step 2: Convert to fraction form
   88,974/138,568.50 = 138,568.50/x
3. Step 3: Cross multiply
   88,974x = 138,568.50 × 138,568.50
4. Step 4: Simplify right side
   88,974x = 19,201,229,192.25
5. Step 5: Solve for x
   x = 19,201,229,192.25/88,974
6. Step 6: Final answer
   x = 215,807.19