Finding the Third Proportional to 78,788 and 117,908

Step by Step Solution

1. Step 1: Write the proportion equation
   78,788 : 117,908 = 117,908 : x
2. Step 2: Convert to fraction form
   78,788/117,908 = 117,908/x
3. Step 3: Cross multiply
   78,788x = 117,908 × 117,908
4. Step 4: Simplify right side
   78,788x = 13,902,296,464
5. Step 5: Solve for x
   x = 13,902,296,464/78,788
6. Step 6: Final answer
   x = 176,451.95