Finding the Third Proportional to 42,587 and 89,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,587 : 89,587.50 = 89,587.50 : x
2. Step 2: Convert to fraction form
   42,587/89,587.50 = 89,587.50/x
3. Step 3: Cross multiply
   42,587x = 89,587.50 × 89,587.50
4. Step 4: Simplify right side
   42,587x = 8,025,920,156.25
5. Step 5: Solve for x
   x = 8,025,920,156.25/42,587
6. Step 6: Final answer
   x = 188,459.39