Finding the Third Proportional to 493,978.50 and 762,594.75

Step by Step Solution

1. Step 1: Write the proportion equation
   493,978.50 : 762,594.75 = 762,594.75 : x
2. Step 2: Convert to fraction form
   493,978.50/762,594.75 = 762,594.75/x
3. Step 3: Cross multiply
   493,978.50x = 762,594.75 × 762,594.75
4. Step 4: Simplify right side
   493,978.50x = 581,550,752,727.56
5. Step 5: Solve for x
   x = 581,550,752,727.56/493,978.50
6. Step 6: Final answer
   x = 1,177,279.48