Finding the Third Proportional to 381,451.50 and 560,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,451.50 : 560,499.50 = 560,499.50 : x
2. Step 2: Convert to fraction form
   381,451.50/560,499.50 = 560,499.50/x
3. Step 3: Cross multiply
   381,451.50x = 560,499.50 × 560,499.50
4. Step 4: Simplify right side
   381,451.50x = 314,159,689,500.25
5. Step 5: Solve for x
   x = 314,159,689,500.25/381,451.50
6. Step 6: Final answer
   x = 823,590.13