Finding the Third Proportional to 78,976 and 174,560

Step by Step Solution

1. Step 1: Write the proportion equation
   78,976 : 174,560 = 174,560 : x
2. Step 2: Convert to fraction form
   78,976/174,560 = 174,560/x
3. Step 3: Cross multiply
   78,976x = 174,560 × 174,560
4. Step 4: Simplify right side
   78,976x = 30,471,193,600
5. Step 5: Solve for x
   x = 30,471,193,600/78,976
6. Step 6: Final answer
   x = 385,828.53