Finding the Third Proportional to 106,981.50 and 165,657

Step by Step Solution

1. Step 1: Write the proportion equation
   106,981.50 : 165,657 = 165,657 : x
2. Step 2: Convert to fraction form
   106,981.50/165,657 = 165,657/x
3. Step 3: Cross multiply
   106,981.50x = 165,657 × 165,657
4. Step 4: Simplify right side
   106,981.50x = 27,442,241,649
5. Step 5: Solve for x
   x = 27,442,241,649/106,981.50
6. Step 6: Final answer
   x = 256,513.90