Finding the Third Proportional to 976,816 and 2,111,688

Step by Step Solution

1. Step 1: Write the proportion equation
   976,816 : 2,111,688 = 2,111,688 : x
2. Step 2: Convert to fraction form
   976,816/2,111,688 = 2,111,688/x
3. Step 3: Cross multiply
   976,816x = 2,111,688 × 2,111,688
4. Step 4: Simplify right side
   976,816x = 4,459,226,209,344
5. Step 5: Solve for x
   x = 4,459,226,209,344/976,816
6. Step 6: Final answer
   x = 4,565,062.62