Finding the Third Proportional to 106,949.50 and 149,531

Step by Step Solution

1. Step 1: Write the proportion equation
   106,949.50 : 149,531 = 149,531 : x
2. Step 2: Convert to fraction form
   106,949.50/149,531 = 149,531/x
3. Step 3: Cross multiply
   106,949.50x = 149,531 × 149,531
4. Step 4: Simplify right side
   106,949.50x = 22,359,519,961
5. Step 5: Solve for x
   x = 22,359,519,961/106,949.50
6. Step 6: Final answer
   x = 209,066.15