Finding the Third Proportional to 55,633 and 115,870

Step by Step Solution

1. Step 1: Write the proportion equation
   55,633 : 115,870 = 115,870 : x
2. Step 2: Convert to fraction form
   55,633/115,870 = 115,870/x
3. Step 3: Cross multiply
   55,633x = 115,870 × 115,870
4. Step 4: Simplify right side
   55,633x = 13,425,856,900
5. Step 5: Solve for x
   x = 13,425,856,900/55,633
6. Step 6: Final answer
   x = 241,329.01