Finding the Third Proportional to 185,142 and 262,120.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,142 : 262,120.50 = 262,120.50 : x
2. Step 2: Convert to fraction form
   185,142/262,120.50 = 262,120.50/x
3. Step 3: Cross multiply
   185,142x = 262,120.50 × 262,120.50
4. Step 4: Simplify right side
   185,142x = 68,707,156,520.25
5. Step 5: Solve for x
   x = 68,707,156,520.25/185,142
6. Step 6: Final answer
   x = 371,105.19