Finding the Third Proportional to 777,820 and 1,688,426

Step by Step Solution

1. Step 1: Write the proportion equation
   777,820 : 1,688,426 = 1,688,426 : x
2. Step 2: Convert to fraction form
   777,820/1,688,426 = 1,688,426/x
3. Step 3: Cross multiply
   777,820x = 1,688,426 × 1,688,426
4. Step 4: Simplify right side
   777,820x = 2,850,782,357,476
5. Step 5: Solve for x
   x = 2,850,782,357,476/777,820
6. Step 6: Final answer
   x = 3,665,092.64