Finding the Third Proportional to 78,342 and 167,751

Step by Step Solution

1. Step 1: Write the proportion equation
   78,342 : 167,751 = 167,751 : x
2. Step 2: Convert to fraction form
   78,342/167,751 = 167,751/x
3. Step 3: Cross multiply
   78,342x = 167,751 × 167,751
4. Step 4: Simplify right side
   78,342x = 28,140,398,001
5. Step 5: Solve for x
   x = 28,140,398,001/78,342
6. Step 6: Final answer
   x = 359,199.38