Finding the Third Proportional to 493,498.50 and 743,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   493,498.50 : 743,893.50 = 743,893.50 : x
2. Step 2: Convert to fraction form
   493,498.50/743,893.50 = 743,893.50/x
3. Step 3: Cross multiply
   493,498.50x = 743,893.50 × 743,893.50
4. Step 4: Simplify right side
   493,498.50x = 553,377,539,342.25
5. Step 5: Solve for x
   x = 553,377,539,342.25/493,498.50
6. Step 6: Final answer
   x = 1,121,335.81