Finding the Third Proportional to 52,584 and 111,120

Step by Step Solution

1. Step 1: Write the proportion equation
   52,584 : 111,120 = 111,120 : x
2. Step 2: Convert to fraction form
   52,584/111,120 = 111,120/x
3. Step 3: Cross multiply
   52,584x = 111,120 × 111,120
4. Step 4: Simplify right side
   52,584x = 12,347,654,400
5. Step 5: Solve for x
   x = 12,347,654,400/52,584
6. Step 6: Final answer
   x = 234,817.71