Finding the Third Proportional to 493,471.50 and 723,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   493,471.50 : 723,097.50 = 723,097.50 : x
2. Step 2: Convert to fraction form
   493,471.50/723,097.50 = 723,097.50/x
3. Step 3: Cross multiply
   493,471.50x = 723,097.50 × 723,097.50
4. Step 4: Simplify right side
   493,471.50x = 522,869,994,506.25
5. Step 5: Solve for x
   x = 522,869,994,506.25/493,471.50
6. Step 6: Final answer
   x = 1,059,574.86