Finding the Third Proportional to 78,046 and 167,930

Step by Step Solution

1. Step 1: Write the proportion equation
   78,046 : 167,930 = 167,930 : x
2. Step 2: Convert to fraction form
   78,046/167,930 = 167,930/x
3. Step 3: Cross multiply
   78,046x = 167,930 × 167,930
4. Step 4: Simplify right side
   78,046x = 28,200,484,900
5. Step 5: Solve for x
   x = 28,200,484,900/78,046
6. Step 6: Final answer
   x = 361,331.59