Finding the Third Proportional to 51,412 and 111,464

Step by Step Solution

1. Step 1: Write the proportion equation
   51,412 : 111,464 = 111,464 : x
2. Step 2: Convert to fraction form
   51,412/111,464 = 111,464/x
3. Step 3: Cross multiply
   51,412x = 111,464 × 111,464
4. Step 4: Simplify right side
   51,412x = 12,424,223,296
5. Step 5: Solve for x
   x = 12,424,223,296/51,412
6. Step 6: Final answer
   x = 241,659.99