Finding the Third Proportional to 101,084.50 and 149,657

Step by Step Solution

1. Step 1: Write the proportion equation
   101,084.50 : 149,657 = 149,657 : x
2. Step 2: Convert to fraction form
   101,084.50/149,657 = 149,657/x
3. Step 3: Cross multiply
   101,084.50x = 149,657 × 149,657
4. Step 4: Simplify right side
   101,084.50x = 22,397,217,649
5. Step 5: Solve for x
   x = 22,397,217,649/101,084.50
6. Step 6: Final answer
   x = 221,569.26