Finding the Third Proportional to 779,680 and 1,166,346

Step by Step Solution

1. Step 1: Write the proportion equation
   779,680 : 1,166,346 = 1,166,346 : x
2. Step 2: Convert to fraction form
   779,680/1,166,346 = 1,166,346/x
3. Step 3: Cross multiply
   779,680x = 1,166,346 × 1,166,346
4. Step 4: Simplify right side
   779,680x = 1,360,362,991,716
5. Step 5: Solve for x
   x = 1,360,362,991,716/779,680
6. Step 6: Final answer
   x = 1,744,770.92