Finding the Third Proportional to 462,067.50 and 578,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   462,067.50 : 578,404.50 = 578,404.50 : x
2. Step 2: Convert to fraction form
   462,067.50/578,404.50 = 578,404.50/x
3. Step 3: Cross multiply
   462,067.50x = 578,404.50 × 578,404.50
4. Step 4: Simplify right side
   462,067.50x = 334,551,765,620.25
5. Step 5: Solve for x
   x = 334,551,765,620.25/462,067.50
6. Step 6: Final answer
   x = 724,032.24