Finding the Third Proportional to 58,816 and 111,680

Step by Step Solution

1. Step 1: Write the proportion equation
   58,816 : 111,680 = 111,680 : x
2. Step 2: Convert to fraction form
   58,816/111,680 = 111,680/x
3. Step 3: Cross multiply
   58,816x = 111,680 × 111,680
4. Step 4: Simplify right side
   58,816x = 12,472,422,400
5. Step 5: Solve for x
   x = 12,472,422,400/58,816
6. Step 6: Final answer
   x = 212,058.32