Finding the Third Proportional to 78,234 and 117,724

Step by Step Solution

1. Step 1: Write the proportion equation
   78,234 : 117,724 = 117,724 : x
2. Step 2: Convert to fraction form
   78,234/117,724 = 117,724/x
3. Step 3: Cross multiply
   78,234x = 117,724 × 117,724
4. Step 4: Simplify right side
   78,234x = 13,858,940,176
5. Step 5: Solve for x
   x = 13,858,940,176/78,234
6. Step 6: Final answer
   x = 177,147.28