Finding the Third Proportional to 80,068.50 and 185,339.25

Step by Step Solution

1. Step 1: Write the proportion equation
   80,068.50 : 185,339.25 = 185,339.25 : x
2. Step 2: Convert to fraction form
   80,068.50/185,339.25 = 185,339.25/x
3. Step 3: Cross multiply
   80,068.50x = 185,339.25 × 185,339.25
4. Step 4: Simplify right side
   80,068.50x = 34,350,637,590.56
5. Step 5: Solve for x
   x = 34,350,637,590.56/80,068.50
6. Step 6: Final answer
   x = 429,015.63