Finding the Third Proportional to 78,802 and 117,924

Step by Step Solution

1. Step 1: Write the proportion equation
   78,802 : 117,924 = 117,924 : x
2. Step 2: Convert to fraction form
   78,802/117,924 = 117,924/x
3. Step 3: Cross multiply
   78,802x = 117,924 × 117,924
4. Step 4: Simplify right side
   78,802x = 13,906,069,776
5. Step 5: Solve for x
   x = 13,906,069,776/78,802
6. Step 6: Final answer
   x = 176,468.49