Finding the Third Proportional to 723,826 and 1,590,416

Step by Step Solution

1. Step 1: Write the proportion equation
   723,826 : 1,590,416 = 1,590,416 : x
2. Step 2: Convert to fraction form
   723,826/1,590,416 = 1,590,416/x
3. Step 3: Cross multiply
   723,826x = 1,590,416 × 1,590,416
4. Step 4: Simplify right side
   723,826x = 2,529,423,053,056
5. Step 5: Solve for x
   x = 2,529,423,053,056/723,826
6. Step 6: Final answer
   x = 3,494,518.09