Finding the Third Proportional to 78,244 and 117,066

Step by Step Solution

1. Step 1: Write the proportion equation
   78,244 : 117,066 = 117,066 : x
2. Step 2: Convert to fraction form
   78,244/117,066 = 117,066/x
3. Step 3: Cross multiply
   78,244x = 117,066 × 117,066
4. Step 4: Simplify right side
   78,244x = 13,704,448,356
5. Step 5: Solve for x
   x = 13,704,448,356/78,244
6. Step 6: Final answer
   x = 175,150.15