Finding the Third Proportional to 127,818.75 and 194,383.69

Step by Step Solution

1. Step 1: Write the proportion equation
   127,818.75 : 194,383.69 = 194,383.69 : x
2. Step 2: Convert to fraction form
   127,818.75/194,383.69 = 194,383.69/x
3. Step 3: Cross multiply
   127,818.75x = 194,383.69 × 194,383.69
4. Step 4: Simplify right side
   127,818.75x = 37,785,017,966.10
5. Step 5: Solve for x
   x = 37,785,017,966.10/127,818.75
6. Step 6: Final answer
   x = 295,614.05