Finding the Third Proportional to 78,998.38 and 111,780.38

Step by Step Solution

1. Step 1: Write the proportion equation
   78,998.38 : 111,780.38 = 111,780.38 : x
2. Step 2: Convert to fraction form
   78,998.38/111,780.38 = 111,780.38/x
3. Step 3: Cross multiply
   78,998.38x = 111,780.38 × 111,780.38
4. Step 4: Simplify right side
   78,998.38x = 12,494,852,235.14
5. Step 5: Solve for x
   x = 12,494,852,235.14/78,998.38
6. Step 6: Final answer
   x = 158,165.94