Finding the Third Proportional to 111,576 and 156,420

Step by Step Solution

1. Step 1: Write the proportion equation
   111,576 : 156,420 = 156,420 : x
2. Step 2: Convert to fraction form
   111,576/156,420 = 156,420/x
3. Step 3: Cross multiply
   111,576x = 156,420 × 156,420
4. Step 4: Simplify right side
   111,576x = 24,467,216,400
5. Step 5: Solve for x
   x = 24,467,216,400/111,576
6. Step 6: Final answer
   x = 219,287.45