Finding the Third Proportional to 175,784 and 279,484

Step by Step Solution

1. Step 1: Write the proportion equation
   175,784 : 279,484 = 279,484 : x
2. Step 2: Convert to fraction form
   175,784/279,484 = 279,484/x
3. Step 3: Cross multiply
   175,784x = 279,484 × 279,484
4. Step 4: Simplify right side
   175,784x = 78,111,306,256
5. Step 5: Solve for x
   x = 78,111,306,256/175,784
6. Step 6: Final answer
   x = 444,359.59