Finding the Third Proportional to 356,665.78 and 725,784.05

Step by Step Solution

1. Step 1: Write the proportion equation
   356,665.78 : 725,784.05 = 725,784.05 : x
2. Step 2: Convert to fraction form
   356,665.78/725,784.05 = 725,784.05/x
3. Step 3: Cross multiply
   356,665.78x = 725,784.05 × 725,784.05
4. Step 4: Simplify right side
   356,665.78x = 526,762,482,698.25
5. Step 5: Solve for x
   x = 526,762,482,698.25/356,665.78
6. Step 6: Final answer
   x = 1,476,907.82