Finding the Third Proportional to 89,827 and 149,705

Step by Step Solution

1. Step 1: Write the proportion equation
   89,827 : 149,705 = 149,705 : x
2. Step 2: Convert to fraction form
   89,827/149,705 = 149,705/x
3. Step 3: Cross multiply
   89,827x = 149,705 × 149,705
4. Step 4: Simplify right side
   89,827x = 22,411,587,025
5. Step 5: Solve for x
   x = 22,411,587,025/89,827
6. Step 6: Final answer
   x = 249,497.22