Finding the Third Proportional to 147,978 and 209,386

Step by Step Solution

1. Step 1: Write the proportion equation
   147,978 : 209,386 = 209,386 : x
2. Step 2: Convert to fraction form
   147,978/209,386 = 209,386/x
3. Step 3: Cross multiply
   147,978x = 209,386 × 209,386
4. Step 4: Simplify right side
   147,978x = 43,842,496,996
5. Step 5: Solve for x
   x = 43,842,496,996/147,978
6. Step 6: Final answer
   x = 296,277.13