Finding the Third Proportional to 478,746 and 728,066.25

Step by Step Solution

1. Step 1: Write the proportion equation
   478,746 : 728,066.25 = 728,066.25 : x
2. Step 2: Convert to fraction form
   478,746/728,066.25 = 728,066.25/x
3. Step 3: Cross multiply
   478,746x = 728,066.25 × 728,066.25
4. Step 4: Simplify right side
   478,746x = 530,080,464,389.06
5. Step 5: Solve for x
   x = 530,080,464,389.06/478,746
6. Step 6: Final answer
   x = 1,107,226.93