Finding the Third Proportional to 85,844 and 185,979

Step by Step Solution

1. Step 1: Write the proportion equation
   85,844 : 185,979 = 185,979 : x
2. Step 2: Convert to fraction form
   85,844/185,979 = 185,979/x
3. Step 3: Cross multiply
   85,844x = 185,979 × 185,979
4. Step 4: Simplify right side
   85,844x = 34,588,188,441
5. Step 5: Solve for x
   x = 34,588,188,441/85,844
6. Step 6: Final answer
   x = 402,919.11