Finding the Third Proportional to 111,848 and 156,780

Step by Step Solution

1. Step 1: Write the proportion equation
   111,848 : 156,780 = 156,780 : x
2. Step 2: Convert to fraction form
   111,848/156,780 = 156,780/x
3. Step 3: Cross multiply
   111,848x = 156,780 × 156,780
4. Step 4: Simplify right side
   111,848x = 24,579,968,400
5. Step 5: Solve for x
   x = 24,579,968,400/111,848
6. Step 6: Final answer
   x = 219,762.25