Finding the Third Proportional to 38,552 and 89,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,552 : 89,242.50 = 89,242.50 : x
2. Step 2: Convert to fraction form
   38,552/89,242.50 = 89,242.50/x
3. Step 3: Cross multiply
   38,552x = 89,242.50 × 89,242.50
4. Step 4: Simplify right side
   38,552x = 7,964,223,806.25
5. Step 5: Solve for x
   x = 7,964,223,806.25/38,552
6. Step 6: Final answer
   x = 206,583.93