Finding the Third Proportional to 209,749.50 and 456,876

Step by Step Solution

1. Step 1: Write the proportion equation
   209,749.50 : 456,876 = 456,876 : x
2. Step 2: Convert to fraction form
   209,749.50/456,876 = 456,876/x
3. Step 3: Cross multiply
   209,749.50x = 456,876 × 456,876
4. Step 4: Simplify right side
   209,749.50x = 208,735,679,376
5. Step 5: Solve for x
   x = 208,735,679,376/209,749.50
6. Step 6: Final answer
   x = 995,166.52