Finding the Third Proportional to 78,270 and 111,525

Step by Step Solution

1. Step 1: Write the proportion equation
   78,270 : 111,525 = 111,525 : x
2. Step 2: Convert to fraction form
   78,270/111,525 = 111,525/x
3. Step 3: Cross multiply
   78,270x = 111,525 × 111,525
4. Step 4: Simplify right side
   78,270x = 12,437,825,625
5. Step 5: Solve for x
   x = 12,437,825,625/78,270
6. Step 6: Final answer
   x = 158,909.23