Finding the Third Proportional to 78,011 and 116,493

Step by Step Solution

1. Step 1: Write the proportion equation
   78,011 : 116,493 = 116,493 : x
2. Step 2: Convert to fraction form
   78,011/116,493 = 116,493/x
3. Step 3: Cross multiply
   78,011x = 116,493 × 116,493
4. Step 4: Simplify right side
   78,011x = 13,570,619,049
5. Step 5: Solve for x
   x = 13,570,619,049/78,011
6. Step 6: Final answer
   x = 173,957.76