Finding the Third Proportional to 78,468 and 119,538

Step by Step Solution

1. Step 1: Write the proportion equation
   78,468 : 119,538 = 119,538 : x
2. Step 2: Convert to fraction form
   78,468/119,538 = 119,538/x
3. Step 3: Cross multiply
   78,468x = 119,538 × 119,538
4. Step 4: Simplify right side
   78,468x = 14,289,333,444
5. Step 5: Solve for x
   x = 14,289,333,444/78,468
6. Step 6: Final answer
   x = 182,103.96