Finding the Third Proportional to 705,142 and 1,447,832

Step by Step Solution

1. Step 1: Write the proportion equation
   705,142 : 1,447,832 = 1,447,832 : x
2. Step 2: Convert to fraction form
   705,142/1,447,832 = 1,447,832/x
3. Step 3: Cross multiply
   705,142x = 1,447,832 × 1,447,832
4. Step 4: Simplify right side
   705,142x = 2,096,217,500,224
5. Step 5: Solve for x
   x = 2,096,217,500,224/705,142
6. Step 6: Final answer
   x = 2,972,759.39