Finding the Third Proportional to 785,970 and 1,684,098

Step by Step Solution

1. Step 1: Write the proportion equation
   785,970 : 1,684,098 = 1,684,098 : x
2. Step 2: Convert to fraction form
   785,970/1,684,098 = 1,684,098/x
3. Step 3: Cross multiply
   785,970x = 1,684,098 × 1,684,098
4. Step 4: Simplify right side
   785,970x = 2,836,186,073,604
5. Step 5: Solve for x
   x = 2,836,186,073,604/785,970
6. Step 6: Final answer
   x = 3,608,516.96