Finding the Third Proportional to 829,752 and 1,785,624

Step by Step Solution

1. Step 1: Write the proportion equation
   829,752 : 1,785,624 = 1,785,624 : x
2. Step 2: Convert to fraction form
   829,752/1,785,624 = 1,785,624/x
3. Step 3: Cross multiply
   829,752x = 1,785,624 × 1,785,624
4. Step 4: Simplify right side
   829,752x = 3,188,453,069,376
5. Step 5: Solve for x
   x = 3,188,453,069,376/829,752
6. Step 6: Final answer
   x = 3,842,657.89