Finding the Third Proportional to 186,876 and 280,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,876 : 280,462.50 = 280,462.50 : x
2. Step 2: Convert to fraction form
   186,876/280,462.50 = 280,462.50/x
3. Step 3: Cross multiply
   186,876x = 280,462.50 × 280,462.50
4. Step 4: Simplify right side
   186,876x = 78,659,213,906.25
5. Step 5: Solve for x
   x = 78,659,213,906.25/186,876
6. Step 6: Final answer
   x = 420,916.62