Finding the Third Proportional to 85,140 and 181,864

Step by Step Solution

1. Step 1: Write the proportion equation
   85,140 : 181,864 = 181,864 : x
2. Step 2: Convert to fraction form
   85,140/181,864 = 181,864/x
3. Step 3: Cross multiply
   85,140x = 181,864 × 181,864
4. Step 4: Simplify right side
   85,140x = 33,074,514,496
5. Step 5: Solve for x
   x = 33,074,514,496/85,140
6. Step 6: Final answer
   x = 388,472.10