Finding the Third Proportional to 90,522 and 137,288

Step by Step Solution

1. Step 1: Write the proportion equation
   90,522 : 137,288 = 137,288 : x
2. Step 2: Convert to fraction form
   90,522/137,288 = 137,288/x
3. Step 3: Cross multiply
   90,522x = 137,288 × 137,288
4. Step 4: Simplify right side
   90,522x = 18,847,994,944
5. Step 5: Solve for x
   x = 18,847,994,944/90,522
6. Step 6: Final answer
   x = 208,214.52