Finding the Third Proportional to 78,048 and 111,534

Step by Step Solution

1. Step 1: Write the proportion equation
   78,048 : 111,534 = 111,534 : x
2. Step 2: Convert to fraction form
   78,048/111,534 = 111,534/x
3. Step 3: Cross multiply
   78,048x = 111,534 × 111,534
4. Step 4: Simplify right side
   78,048x = 12,439,833,156
5. Step 5: Solve for x
   x = 12,439,833,156/78,048
6. Step 6: Final answer
   x = 159,386.96