Finding the Third Proportional to 89,834 and 137,499

Step by Step Solution

1. Step 1: Write the proportion equation
   89,834 : 137,499 = 137,499 : x
2. Step 2: Convert to fraction form
   89,834/137,499 = 137,499/x
3. Step 3: Cross multiply
   89,834x = 137,499 × 137,499
4. Step 4: Simplify right side
   89,834x = 18,905,975,001
5. Step 5: Solve for x
   x = 18,905,975,001/89,834
6. Step 6: Final answer
   x = 210,454.56