Finding the Third Proportional to 85,518 and 185,796

Step by Step Solution

1. Step 1: Write the proportion equation
   85,518 : 185,796 = 185,796 : x
2. Step 2: Convert to fraction form
   85,518/185,796 = 185,796/x
3. Step 3: Cross multiply
   85,518x = 185,796 × 185,796
4. Step 4: Simplify right side
   85,518x = 34,520,153,616
5. Step 5: Solve for x
   x = 34,520,153,616/85,518
6. Step 6: Final answer
   x = 403,659.51