Finding the Third Proportional to 118,052 and 178,066

Step by Step Solution

1. Step 1: Write the proportion equation
   118,052 : 178,066 = 178,066 : x
2. Step 2: Convert to fraction form
   118,052/178,066 = 178,066/x
3. Step 3: Cross multiply
   118,052x = 178,066 × 178,066
4. Step 4: Simplify right side
   118,052x = 31,707,500,356
5. Step 5: Solve for x
   x = 31,707,500,356/118,052
6. Step 6: Final answer
   x = 268,589.27