Finding the Third Proportional to 85,034.25 and 185,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,034.25 : 185,377.50 = 185,377.50 : x
2. Step 2: Convert to fraction form
   85,034.25/185,377.50 = 185,377.50/x
3. Step 3: Cross multiply
   85,034.25x = 185,377.50 × 185,377.50
4. Step 4: Simplify right side
   85,034.25x = 34,364,817,506.25
5. Step 5: Solve for x
   x = 34,364,817,506.25/85,034.25
6. Step 6: Final answer
   x = 404,129.13