Finding the Third Proportional to 85,828 and 185,810

Step by Step Solution

1. Step 1: Write the proportion equation
   85,828 : 185,810 = 185,810 : x
2. Step 2: Convert to fraction form
   85,828/185,810 = 185,810/x
3. Step 3: Cross multiply
   85,828x = 185,810 × 185,810
4. Step 4: Simplify right side
   85,828x = 34,525,356,100
5. Step 5: Solve for x
   x = 34,525,356,100/85,828
6. Step 6: Final answer
   x = 402,262.15