Finding the Third Proportional to 111,636 and 156,152

Step by Step Solution

1. Step 1: Write the proportion equation
   111,636 : 156,152 = 156,152 : x
2. Step 2: Convert to fraction form
   111,636/156,152 = 156,152/x
3. Step 3: Cross multiply
   111,636x = 156,152 × 156,152
4. Step 4: Simplify right side
   111,636x = 24,383,447,104
5. Step 5: Solve for x
   x = 24,383,447,104/111,636
6. Step 6: Final answer
   x = 218,419.21