Finding the Third Proportional to 321,126 and 705,810

Step by Step Solution

1. Step 1: Write the proportion equation
   321,126 : 705,810 = 705,810 : x
2. Step 2: Convert to fraction form
   321,126/705,810 = 705,810/x
3. Step 3: Cross multiply
   321,126x = 705,810 × 705,810
4. Step 4: Simplify right side
   321,126x = 498,167,756,100
5. Step 5: Solve for x
   x = 498,167,756,100/321,126
6. Step 6: Final answer
   x = 1,551,315.55