Finding the Third Proportional to 111,888 and 156,624

Step by Step Solution

1. Step 1: Write the proportion equation
   111,888 : 156,624 = 156,624 : x
2. Step 2: Convert to fraction form
   111,888/156,624 = 156,624/x
3. Step 3: Cross multiply
   111,888x = 156,624 × 156,624
4. Step 4: Simplify right side
   111,888x = 24,531,077,376
5. Step 5: Solve for x
   x = 24,531,077,376/111,888
6. Step 6: Final answer
   x = 219,246.72