Finding the Third Proportional to 78,966 and 175,428

Step by Step Solution

1. Step 1: Write the proportion equation
   78,966 : 175,428 = 175,428 : x
2. Step 2: Convert to fraction form
   78,966/175,428 = 175,428/x
3. Step 3: Cross multiply
   78,966x = 175,428 × 175,428
4. Step 4: Simplify right side
   78,966x = 30,774,983,184
5. Step 5: Solve for x
   x = 30,774,983,184/78,966
6. Step 6: Final answer
   x = 389,724.48