Finding the Third Proportional to 85,138.50 and 185,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,138.50 : 185,014.50 = 185,014.50 : x
2. Step 2: Convert to fraction form
   85,138.50/185,014.50 = 185,014.50/x
3. Step 3: Cross multiply
   85,138.50x = 185,014.50 × 185,014.50
4. Step 4: Simplify right side
   85,138.50x = 34,230,365,210.25
5. Step 5: Solve for x
   x = 34,230,365,210.25/85,138.50
6. Step 6: Final answer
   x = 402,055.07