Finding the Third Proportional to 146,650 and 216,086

Step by Step Solution

1. Step 1: Write the proportion equation
   146,650 : 216,086 = 216,086 : x
2. Step 2: Convert to fraction form
   146,650/216,086 = 216,086/x
3. Step 3: Cross multiply
   146,650x = 216,086 × 216,086
4. Step 4: Simplify right side
   146,650x = 46,693,159,396
5. Step 5: Solve for x
   x = 46,693,159,396/146,650
6. Step 6: Final answer
   x = 318,398.63