Finding the Third Proportional to 42,587.50 and 89,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,587.50 : 89,588.50 = 89,588.50 : x
2. Step 2: Convert to fraction form
   42,587.50/89,588.50 = 89,588.50/x
3. Step 3: Cross multiply
   42,587.50x = 89,588.50 × 89,588.50
4. Step 4: Simplify right side
   42,587.50x = 8,026,099,332.25
5. Step 5: Solve for x
   x = 8,026,099,332.25/42,587.50
6. Step 6: Final answer
   x = 188,461.39