Finding the Third Proportional to 90,218 and 137,451

Step by Step Solution

1. Step 1: Write the proportion equation
   90,218 : 137,451 = 137,451 : x
2. Step 2: Convert to fraction form
   90,218/137,451 = 137,451/x
3. Step 3: Cross multiply
   90,218x = 137,451 × 137,451
4. Step 4: Simplify right side
   90,218x = 18,892,777,401
5. Step 5: Solve for x
   x = 18,892,777,401/90,218
6. Step 6: Final answer
   x = 209,412.51