Finding the Third Proportional to 127,029.38 and 185,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,029.38 : 185,773.50 = 185,773.50 : x
2. Step 2: Convert to fraction form
   127,029.38/185,773.50 = 185,773.50/x
3. Step 3: Cross multiply
   127,029.38x = 185,773.50 × 185,773.50
4. Step 4: Simplify right side
   127,029.38x = 34,511,793,302.25
5. Step 5: Solve for x
   x = 34,511,793,302.25/127,029.38
6. Step 6: Final answer
   x = 271,683.56