Finding the Third Proportional to 78,047 and 116,757

Step by Step Solution

1. Step 1: Write the proportion equation
   78,047 : 116,757 = 116,757 : x
2. Step 2: Convert to fraction form
   78,047/116,757 = 116,757/x
3. Step 3: Cross multiply
   78,047x = 116,757 × 116,757
4. Step 4: Simplify right side
   78,047x = 13,632,197,049
5. Step 5: Solve for x
   x = 13,632,197,049/78,047
6. Step 6: Final answer
   x = 174,666.51