Finding the Third Proportional to 150,192 and 209,978

Step by Step Solution

1. Step 1: Write the proportion equation
   150,192 : 209,978 = 209,978 : x
2. Step 2: Convert to fraction form
   150,192/209,978 = 209,978/x
3. Step 3: Cross multiply
   150,192x = 209,978 × 209,978
4. Step 4: Simplify right side
   150,192x = 44,090,760,484
5. Step 5: Solve for x
   x = 44,090,760,484/150,192
6. Step 6: Final answer
   x = 293,562.64