Finding the Third Proportional to 824,200 and 1,781,761

Step by Step Solution

1. Step 1: Write the proportion equation
   824,200 : 1,781,761 = 1,781,761 : x
2. Step 2: Convert to fraction form
   824,200/1,781,761 = 1,781,761/x
3. Step 3: Cross multiply
   824,200x = 1,781,761 × 1,781,761
4. Step 4: Simplify right side
   824,200x = 3,174,672,261,121
5. Step 5: Solve for x
   x = 3,174,672,261,121/824,200
6. Step 6: Final answer
   x = 3,851,822.69