Finding the Third Proportional to 78,052 and 167,960

Step by Step Solution

1. Step 1: Write the proportion equation
   78,052 : 167,960 = 167,960 : x
2. Step 2: Convert to fraction form
   78,052/167,960 = 167,960/x
3. Step 3: Cross multiply
   78,052x = 167,960 × 167,960
4. Step 4: Simplify right side
   78,052x = 28,210,561,600
5. Step 5: Solve for x
   x = 28,210,561,600/78,052
6. Step 6: Final answer
   x = 361,432.91