Finding the Third Proportional to 78,008 and 117,564

Step by Step Solution

1. Step 1: Write the proportion equation
   78,008 : 117,564 = 117,564 : x
2. Step 2: Convert to fraction form
   78,008/117,564 = 117,564/x
3. Step 3: Cross multiply
   78,008x = 117,564 × 117,564
4. Step 4: Simplify right side
   78,008x = 13,821,294,096
5. Step 5: Solve for x
   x = 13,821,294,096/78,008
6. Step 6: Final answer
   x = 177,177.91