Finding the Third Proportional to 50,899 and 114,307

Step by Step Solution

1. Step 1: Write the proportion equation
   50,899 : 114,307 = 114,307 : x
2. Step 2: Convert to fraction form
   50,899/114,307 = 114,307/x
3. Step 3: Cross multiply
   50,899x = 114,307 × 114,307
4. Step 4: Simplify right side
   50,899x = 13,066,090,249
5. Step 5: Solve for x
   x = 13,066,090,249/50,899
6. Step 6: Final answer
   x = 256,706.23