Finding the Third Proportional to 89,816 and 137,452

Step by Step Solution

1. Step 1: Write the proportion equation
   89,816 : 137,452 = 137,452 : x
2. Step 2: Convert to fraction form
   89,816/137,452 = 137,452/x
3. Step 3: Cross multiply
   89,816x = 137,452 × 137,452
4. Step 4: Simplify right side
   89,816x = 18,893,052,304
5. Step 5: Solve for x
   x = 18,893,052,304/89,816
6. Step 6: Final answer
   x = 210,352.86