Finding the Third Proportional to 79,026 and 172,254

Step by Step Solution

1. Step 1: Write the proportion equation
   79,026 : 172,254 = 172,254 : x
2. Step 2: Convert to fraction form
   79,026/172,254 = 172,254/x
3. Step 3: Cross multiply
   79,026x = 172,254 × 172,254
4. Step 4: Simplify right side
   79,026x = 29,671,440,516
5. Step 5: Solve for x
   x = 29,671,440,516/79,026
6. Step 6: Final answer
   x = 375,464.28