Finding the Third Proportional to 786,228 and 1,684,641

Step by Step Solution

1. Step 1: Write the proportion equation
   786,228 : 1,684,641 = 1,684,641 : x
2. Step 2: Convert to fraction form
   786,228/1,684,641 = 1,684,641/x
3. Step 3: Cross multiply
   786,228x = 1,684,641 × 1,684,641
4. Step 4: Simplify right side
   786,228x = 2,838,015,298,881
5. Step 5: Solve for x
   x = 2,838,015,298,881/786,228
6. Step 6: Final answer
   x = 3,609,659.41