Finding the Third Proportional to 89,836 and 149,714

Step by Step Solution

1. Step 1: Write the proportion equation
   89,836 : 149,714 = 149,714 : x
2. Step 2: Convert to fraction form
   89,836/149,714 = 149,714/x
3. Step 3: Cross multiply
   89,836x = 149,714 × 149,714
4. Step 4: Simplify right side
   89,836x = 22,414,281,796
5. Step 5: Solve for x
   x = 22,414,281,796/89,836
6. Step 6: Final answer
   x = 249,502.22