Finding the Third Proportional to 85,044 and 186,216

Step by Step Solution

1. Step 1: Write the proportion equation
   85,044 : 186,216 = 186,216 : x
2. Step 2: Convert to fraction form
   85,044/186,216 = 186,216/x
3. Step 3: Cross multiply
   85,044x = 186,216 × 186,216
4. Step 4: Simplify right side
   85,044x = 34,676,398,656
5. Step 5: Solve for x
   x = 34,676,398,656/85,044
6. Step 6: Final answer
   x = 407,746.56