Finding the Third Proportional to 705,294 and 1,664,658

Step by Step Solution

1. Step 1: Write the proportion equation
   705,294 : 1,664,658 = 1,664,658 : x
2. Step 2: Convert to fraction form
   705,294/1,664,658 = 1,664,658/x
3. Step 3: Cross multiply
   705,294x = 1,664,658 × 1,664,658
4. Step 4: Simplify right side
   705,294x = 2,771,086,256,964
5. Step 5: Solve for x
   x = 2,771,086,256,964/705,294
6. Step 6: Final answer
   x = 3,928,980.34