Finding the Third Proportional to 89,846 and 149,730

Step by Step Solution

1. Step 1: Write the proportion equation
   89,846 : 149,730 = 149,730 : x
2. Step 2: Convert to fraction form
   89,846/149,730 = 149,730/x
3. Step 3: Cross multiply
   89,846x = 149,730 × 149,730
4. Step 4: Simplify right side
   89,846x = 22,419,072,900
5. Step 5: Solve for x
   x = 22,419,072,900/89,846
6. Step 6: Final answer
   x = 249,527.78