Finding the Third Proportional to 78,760 and 113,724

Step by Step Solution

1. Step 1: Write the proportion equation
   78,760 : 113,724 = 113,724 : x
2. Step 2: Convert to fraction form
   78,760/113,724 = 113,724/x
3. Step 3: Cross multiply
   78,760x = 113,724 × 113,724
4. Step 4: Simplify right side
   78,760x = 12,933,148,176
5. Step 5: Solve for x
   x = 12,933,148,176/78,760
6. Step 6: Final answer
   x = 164,209.60