Finding the Third Proportional to 90,624 and 137,472

Step by Step Solution

1. Step 1: Write the proportion equation
   90,624 : 137,472 = 137,472 : x
2. Step 2: Convert to fraction form
   90,624/137,472 = 137,472/x
3. Step 3: Cross multiply
   90,624x = 137,472 × 137,472
4. Step 4: Simplify right side
   90,624x = 18,898,550,784
5. Step 5: Solve for x
   x = 18,898,550,784/90,624
6. Step 6: Final answer
   x = 208,538.03