Finding the Third Proportional to 553,553 and 827,447.75

Step by Step Solution

1. Step 1: Write the proportion equation
   553,553 : 827,447.75 = 827,447.75 : x
2. Step 2: Convert to fraction form
   553,553/827,447.75 = 827,447.75/x
3. Step 3: Cross multiply
   553,553x = 827,447.75 × 827,447.75
4. Step 4: Simplify right side
   553,553x = 684,669,778,980.06
5. Step 5: Solve for x
   x = 684,669,778,980.06/553,553
6. Step 6: Final answer
   x = 1,236,864.00