Finding the Third Proportional to 127,149.75 and 192,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,149.75 : 192,361.50 = 192,361.50 : x
2. Step 2: Convert to fraction form
   127,149.75/192,361.50 = 192,361.50/x
3. Step 3: Cross multiply
   127,149.75x = 192,361.50 × 192,361.50
4. Step 4: Simplify right side
   127,149.75x = 37,002,946,682.25
5. Step 5: Solve for x
   x = 37,002,946,682.25/127,149.75
6. Step 6: Final answer
   x = 291,018.63