Finding the Third Proportional to 127,033.50 and 185,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,033.50 : 185,779.50 = 185,779.50 : x
2. Step 2: Convert to fraction form
   127,033.50/185,779.50 = 185,779.50/x
3. Step 3: Cross multiply
   127,033.50x = 185,779.50 × 185,779.50
4. Step 4: Simplify right side
   127,033.50x = 34,514,022,620.25
5. Step 5: Solve for x
   x = 34,514,022,620.25/127,033.50
6. Step 6: Final answer
   x = 271,692.29