Finding the Third Proportional to 829,152 and 1,757,946

Step by Step Solution

1. Step 1: Write the proportion equation
   829,152 : 1,757,946 = 1,757,946 : x
2. Step 2: Convert to fraction form
   829,152/1,757,946 = 1,757,946/x
3. Step 3: Cross multiply
   829,152x = 1,757,946 × 1,757,946
4. Step 4: Simplify right side
   829,152x = 3,090,374,138,916
5. Step 5: Solve for x
   x = 3,090,374,138,916/829,152
6. Step 6: Final answer
   x = 3,727,150.32