Finding the Third Proportional to 78,656 and 172,076

Step by Step Solution

1. Step 1: Write the proportion equation
   78,656 : 172,076 = 172,076 : x
2. Step 2: Convert to fraction form
   78,656/172,076 = 172,076/x
3. Step 3: Cross multiply
   78,656x = 172,076 × 172,076
4. Step 4: Simplify right side
   78,656x = 29,610,149,776
5. Step 5: Solve for x
   x = 29,610,149,776/78,656
6. Step 6: Final answer
   x = 376,451.25