Finding the Third Proportional to 78,404 and 115,758

Step by Step Solution

1. Step 1: Write the proportion equation
   78,404 : 115,758 = 115,758 : x
2. Step 2: Convert to fraction form
   78,404/115,758 = 115,758/x
3. Step 3: Cross multiply
   78,404x = 115,758 × 115,758
4. Step 4: Simplify right side
   78,404x = 13,399,914,564
5. Step 5: Solve for x
   x = 13,399,914,564/78,404
6. Step 6: Final answer
   x = 170,908.56