Finding the Third Proportional to 108,414 and 166,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,414 : 166,849.50 = 166,849.50 : x
2. Step 2: Convert to fraction form
   108,414/166,849.50 = 166,849.50/x
3. Step 3: Cross multiply
   108,414x = 166,849.50 × 166,849.50
4. Step 4: Simplify right side
   108,414x = 27,838,755,650.25
5. Step 5: Solve for x
   x = 27,838,755,650.25/108,414
6. Step 6: Final answer
   x = 256,781.93