Finding the Third Proportional to 829,180.50 and 1,758,006

Step by Step Solution

1. Step 1: Write the proportion equation
   829,180.50 : 1,758,006 = 1,758,006 : x
2. Step 2: Convert to fraction form
   829,180.50/1,758,006 = 1,758,006/x
3. Step 3: Cross multiply
   829,180.50x = 1,758,006 × 1,758,006
4. Step 4: Simplify right side
   829,180.50x = 3,090,585,096,036
5. Step 5: Solve for x
   x = 3,090,585,096,036/829,180.50
6. Step 6: Final answer
   x = 3,727,276.63