Finding the Third Proportional to 78,000 and 111,464

Step by Step Solution

1. Step 1: Write the proportion equation
   78,000 : 111,464 = 111,464 : x
2. Step 2: Convert to fraction form
   78,000/111,464 = 111,464/x
3. Step 3: Cross multiply
   78,000x = 111,464 × 111,464
4. Step 4: Simplify right side
   78,000x = 12,424,223,296
5. Step 5: Solve for x
   x = 12,424,223,296/78,000
6. Step 6: Final answer
   x = 159,284.91