Finding the Third Proportional to 89,624 and 137,569

Step by Step Solution

1. Step 1: Write the proportion equation
   89,624 : 137,569 = 137,569 : x
2. Step 2: Convert to fraction form
   89,624/137,569 = 137,569/x
3. Step 3: Cross multiply
   89,624x = 137,569 × 137,569
4. Step 4: Simplify right side
   89,624x = 18,925,229,761
5. Step 5: Solve for x
   x = 18,925,229,761/89,624
6. Step 6: Final answer
   x = 211,162.52