Finding the Third Proportional to 111,888 and 156,432

Step by Step Solution

1. Step 1: Write the proportion equation
   111,888 : 156,432 = 156,432 : x
2. Step 2: Convert to fraction form
   111,888/156,432 = 156,432/x
3. Step 3: Cross multiply
   111,888x = 156,432 × 156,432
4. Step 4: Simplify right side
   111,888x = 24,470,970,624
5. Step 5: Solve for x
   x = 24,470,970,624/111,888
6. Step 6: Final answer
   x = 218,709.52