Finding the Third Proportional to 78,784 and 115,872

Step by Step Solution

1. Step 1: Write the proportion equation
   78,784 : 115,872 = 115,872 : x
2. Step 2: Convert to fraction form
   78,784/115,872 = 115,872/x
3. Step 3: Cross multiply
   78,784x = 115,872 × 115,872
4. Step 4: Simplify right side
   78,784x = 13,426,320,384
5. Step 5: Solve for x
   x = 13,426,320,384/78,784
6. Step 6: Final answer
   x = 170,419.38