Finding the Third Proportional to 88,578 and 134,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,578 : 134,506.50 = 134,506.50 : x
2. Step 2: Convert to fraction form
   88,578/134,506.50 = 134,506.50/x
3. Step 3: Cross multiply
   88,578x = 134,506.50 × 134,506.50
4. Step 4: Simplify right side
   88,578x = 18,091,998,542.25
5. Step 5: Solve for x
   x = 18,091,998,542.25/88,578
6. Step 6: Final answer
   x = 204,249.35