Finding the Third Proportional to 262,092 and 358,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,092 : 358,651.50 = 358,651.50 : x
2. Step 2: Convert to fraction form
   262,092/358,651.50 = 358,651.50/x
3. Step 3: Cross multiply
   262,092x = 358,651.50 × 358,651.50
4. Step 4: Simplify right side
   262,092x = 128,630,898,452.25
5. Step 5: Solve for x
   x = 128,630,898,452.25/262,092
6. Step 6: Final answer
   x = 490,785.29