Finding the Third Proportional to 78,799 and 115,606

Step by Step Solution

1. Step 1: Write the proportion equation
   78,799 : 115,606 = 115,606 : x
2. Step 2: Convert to fraction form
   78,799/115,606 = 115,606/x
3. Step 3: Cross multiply
   78,799x = 115,606 × 115,606
4. Step 4: Simplify right side
   78,799x = 13,364,747,236
5. Step 5: Solve for x
   x = 13,364,747,236/78,799
6. Step 6: Final answer
   x = 169,605.54