Finding the Third Proportional to 78,648 and 172,060

Step by Step Solution

1. Step 1: Write the proportion equation
   78,648 : 172,060 = 172,060 : x
2. Step 2: Convert to fraction form
   78,648/172,060 = 172,060/x
3. Step 3: Cross multiply
   78,648x = 172,060 × 172,060
4. Step 4: Simplify right side
   78,648x = 29,604,643,600
5. Step 5: Solve for x
   x = 29,604,643,600/78,648
6. Step 6: Final answer
   x = 376,419.54