Finding the Third Proportional to 419,761.50 and 665,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,761.50 : 665,746.50 = 665,746.50 : x
2. Step 2: Convert to fraction form
   419,761.50/665,746.50 = 665,746.50/x
3. Step 3: Cross multiply
   419,761.50x = 665,746.50 × 665,746.50
4. Step 4: Simplify right side
   419,761.50x = 443,218,402,262.25
5. Step 5: Solve for x
   x = 443,218,402,262.25/419,761.50
6. Step 6: Final answer
   x = 1,055,881.50