Finding the Third Proportional to 53,152 and 111,812

Step by Step Solution

1. Step 1: Write the proportion equation
   53,152 : 111,812 = 111,812 : x
2. Step 2: Convert to fraction form
   53,152/111,812 = 111,812/x
3. Step 3: Cross multiply
   53,152x = 111,812 × 111,812
4. Step 4: Simplify right side
   53,152x = 12,501,923,344
5. Step 5: Solve for x
   x = 12,501,923,344/53,152
6. Step 6: Final answer
   x = 235,210.78