Finding the Third Proportional to 85,114 and 182,864

Step by Step Solution

1. Step 1: Write the proportion equation
   85,114 : 182,864 = 182,864 : x
2. Step 2: Convert to fraction form
   85,114/182,864 = 182,864/x
3. Step 3: Cross multiply
   85,114x = 182,864 × 182,864
4. Step 4: Simplify right side
   85,114x = 33,439,242,496
5. Step 5: Solve for x
   x = 33,439,242,496/85,114
6. Step 6: Final answer
   x = 392,875.94