Finding the Third Proportional to 85,816 and 185,928

Step by Step Solution

1. Step 1: Write the proportion equation
   85,816 : 185,928 = 185,928 : x
2. Step 2: Convert to fraction form
   85,816/185,928 = 185,928/x
3. Step 3: Cross multiply
   85,816x = 185,928 × 185,928
4. Step 4: Simplify right side
   85,816x = 34,569,221,184
5. Step 5: Solve for x
   x = 34,569,221,184/85,816
6. Step 6: Final answer
   x = 402,829.56