Finding the Third Proportional to 40,564 and 88,598

Step by Step Solution

1. Step 1: Write the proportion equation
   40,564 : 88,598 = 88,598 : x
2. Step 2: Convert to fraction form
   40,564/88,598 = 88,598/x
3. Step 3: Cross multiply
   40,564x = 88,598 × 88,598
4. Step 4: Simplify right side
   40,564x = 7,849,605,604
5. Step 5: Solve for x
   x = 7,849,605,604/40,564
6. Step 6: Final answer
   x = 193,511.63