Finding the Third Proportional to 89,768 and 136,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,768 : 136,517.50 = 136,517.50 : x
2. Step 2: Convert to fraction form
   89,768/136,517.50 = 136,517.50/x
3. Step 3: Cross multiply
   89,768x = 136,517.50 × 136,517.50
4. Step 4: Simplify right side
   89,768x = 18,637,027,806.25
5. Step 5: Solve for x
   x = 18,637,027,806.25/89,768
6. Step 6: Final answer
   x = 207,613.27