Finding the Third Proportional to 83,160 and 111,456

Step by Step Solution

1. Step 1: Write the proportion equation
   83,160 : 111,456 = 111,456 : x
2. Step 2: Convert to fraction form
   83,160/111,456 = 111,456/x
3. Step 3: Cross multiply
   83,160x = 111,456 × 111,456
4. Step 4: Simplify right side
   83,160x = 12,422,439,936
5. Step 5: Solve for x
   x = 12,422,439,936/83,160
6. Step 6: Final answer
   x = 149,379.99