Finding the Third Proportional to 185,876 and 288,222

Step by Step Solution

1. Step 1: Write the proportion equation
   185,876 : 288,222 = 288,222 : x
2. Step 2: Convert to fraction form
   185,876/288,222 = 288,222/x
3. Step 3: Cross multiply
   185,876x = 288,222 × 288,222
4. Step 4: Simplify right side
   185,876x = 83,071,921,284
5. Step 5: Solve for x
   x = 83,071,921,284/185,876
6. Step 6: Final answer
   x = 446,921.18