Finding the Third Proportional to 162,570 and 215,768

Step by Step Solution

1. Step 1: Write the proportion equation
   162,570 : 215,768 = 215,768 : x
2. Step 2: Convert to fraction form
   162,570/215,768 = 215,768/x
3. Step 3: Cross multiply
   162,570x = 215,768 × 215,768
4. Step 4: Simplify right side
   162,570x = 46,555,829,824
5. Step 5: Solve for x
   x = 46,555,829,824/162,570
6. Step 6: Final answer
   x = 286,374.05