Finding the Third Proportional to 118,778 and 256,123

Step by Step Solution

1. Step 1: Write the proportion equation
   118,778 : 256,123 = 256,123 : x
2. Step 2: Convert to fraction form
   118,778/256,123 = 256,123/x
3. Step 3: Cross multiply
   118,778x = 256,123 × 256,123
4. Step 4: Simplify right side
   118,778x = 65,598,991,129
5. Step 5: Solve for x
   x = 65,598,991,129/118,778
6. Step 6: Final answer
   x = 552,282.33