Finding the Third Proportional to 85,196 and 181,320

Step by Step Solution

1. Step 1: Write the proportion equation
   85,196 : 181,320 = 181,320 : x
2. Step 2: Convert to fraction form
   85,196/181,320 = 181,320/x
3. Step 3: Cross multiply
   85,196x = 181,320 × 181,320
4. Step 4: Simplify right side
   85,196x = 32,876,942,400
5. Step 5: Solve for x
   x = 32,876,942,400/85,196
6. Step 6: Final answer
   x = 385,897.72