Finding the Third Proportional to 85,380 and 179,748

Step by Step Solution

1. Step 1: Write the proportion equation
   85,380 : 179,748 = 179,748 : x
2. Step 2: Convert to fraction form
   85,380/179,748 = 179,748/x
3. Step 3: Cross multiply
   85,380x = 179,748 × 179,748
4. Step 4: Simplify right side
   85,380x = 32,309,343,504
5. Step 5: Solve for x
   x = 32,309,343,504/85,380
6. Step 6: Final answer
   x = 378,418.17