Finding the Third Proportional to 78,570 and 167,886

Step by Step Solution

1. Step 1: Write the proportion equation
   78,570 : 167,886 = 167,886 : x
2. Step 2: Convert to fraction form
   78,570/167,886 = 167,886/x
3. Step 3: Cross multiply
   78,570x = 167,886 × 167,886
4. Step 4: Simplify right side
   78,570x = 28,185,708,996
5. Step 5: Solve for x
   x = 28,185,708,996/78,570
6. Step 6: Final answer
   x = 358,733.73