Finding the Third Proportional to 85,048 and 186,254

Step by Step Solution

1. Step 1: Write the proportion equation
   85,048 : 186,254 = 186,254 : x
2. Step 2: Convert to fraction form
   85,048/186,254 = 186,254/x
3. Step 3: Cross multiply
   85,048x = 186,254 × 186,254
4. Step 4: Simplify right side
   85,048x = 34,690,552,516
5. Step 5: Solve for x
   x = 34,690,552,516/85,048
6. Step 6: Final answer
   x = 407,893.81