Finding the Third Proportional to 85,038.50 and 185,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,038.50 : 185,619.50 = 185,619.50 : x
2. Step 2: Convert to fraction form
   85,038.50/185,619.50 = 185,619.50/x
3. Step 3: Cross multiply
   85,038.50x = 185,619.50 × 185,619.50
4. Step 4: Simplify right side
   85,038.50x = 34,454,598,780.25
5. Step 5: Solve for x
   x = 34,454,598,780.25/85,038.50
6. Step 6: Final answer
   x = 405,164.71