Finding the Third Proportional to 78,784 and 117,902

Step by Step Solution

1. Step 1: Write the proportion equation
   78,784 : 117,902 = 117,902 : x
2. Step 2: Convert to fraction form
   78,784/117,902 = 117,902/x
3. Step 3: Cross multiply
   78,784x = 117,902 × 117,902
4. Step 4: Simplify right side
   78,784x = 13,900,881,604
5. Step 5: Solve for x
   x = 13,900,881,604/78,784
6. Step 6: Final answer
   x = 176,442.95