Finding the Third Proportional to 85,114 and 185,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,114 : 185,145.50 = 185,145.50 : x
2. Step 2: Convert to fraction form
   85,114/185,145.50 = 185,145.50/x
3. Step 3: Cross multiply
   85,114x = 185,145.50 × 185,145.50
4. Step 4: Simplify right side
   85,114x = 34,278,856,170.25
5. Step 5: Solve for x
   x = 34,278,856,170.25/85,114
6. Step 6: Final answer
   x = 402,740.51