Finding the Third Proportional to 85,140 and 185,016

Step by Step Solution

1. Step 1: Write the proportion equation
   85,140 : 185,016 = 185,016 : x
2. Step 2: Convert to fraction form
   85,140/185,016 = 185,016/x
3. Step 3: Cross multiply
   85,140x = 185,016 × 185,016
4. Step 4: Simplify right side
   85,140x = 34,230,920,256
5. Step 5: Solve for x
   x = 34,230,920,256/85,140
6. Step 6: Final answer
   x = 402,054.50