Finding the Third Proportional to 826,585 and 1,791,106

Step by Step Solution

1. Step 1: Write the proportion equation
   826,585 : 1,791,106 = 1,791,106 : x
2. Step 2: Convert to fraction form
   826,585/1,791,106 = 1,791,106/x
3. Step 3: Cross multiply
   826,585x = 1,791,106 × 1,791,106
4. Step 4: Simplify right side
   826,585x = 3,208,060,703,236
5. Step 5: Solve for x
   x = 3,208,060,703,236/826,585
6. Step 6: Final answer
   x = 3,881,102.01