Finding the Third Proportional to 261,925 and 387,978

Step by Step Solution

1. Step 1: Write the proportion equation
   261,925 : 387,978 = 387,978 : x
2. Step 2: Convert to fraction form
   261,925/387,978 = 387,978/x
3. Step 3: Cross multiply
   261,925x = 387,978 × 387,978
4. Step 4: Simplify right side
   261,925x = 150,526,928,484
5. Step 5: Solve for x
   x = 150,526,928,484/261,925
6. Step 6: Final answer
   x = 574,694.77