Finding the Third Proportional to 78,322 and 167,724

Step by Step Solution

1. Step 1: Write the proportion equation
   78,322 : 167,724 = 167,724 : x
2. Step 2: Convert to fraction form
   78,322/167,724 = 167,724/x
3. Step 3: Cross multiply
   78,322x = 167,724 × 167,724
4. Step 4: Simplify right side
   78,322x = 28,131,340,176
5. Step 5: Solve for x
   x = 28,131,340,176/78,322
6. Step 6: Final answer
   x = 359,175.46