Finding the Third Proportional to 724,875 and 1,569,216

Step by Step Solution

1. Step 1: Write the proportion equation
   724,875 : 1,569,216 = 1,569,216 : x
2. Step 2: Convert to fraction form
   724,875/1,569,216 = 1,569,216/x
3. Step 3: Cross multiply
   724,875x = 1,569,216 × 1,569,216
4. Step 4: Simplify right side
   724,875x = 2,462,438,854,656
5. Step 5: Solve for x
   x = 2,462,438,854,656/724,875
6. Step 6: Final answer
   x = 3,397,053.08