Finding the Third Proportional to 42,017 and 88,624

Step by Step Solution

1. Step 1: Write the proportion equation
   42,017 : 88,624 = 88,624 : x
2. Step 2: Convert to fraction form
   42,017/88,624 = 88,624/x
3. Step 3: Cross multiply
   42,017x = 88,624 × 88,624
4. Step 4: Simplify right side
   42,017x = 7,854,213,376
5. Step 5: Solve for x
   x = 7,854,213,376/42,017
6. Step 6: Final answer
   x = 186,929.42