Finding the Third Proportional to 52,160 and 113,888

Step by Step Solution

1. Step 1: Write the proportion equation
   52,160 : 113,888 = 113,888 : x
2. Step 2: Convert to fraction form
   52,160/113,888 = 113,888/x
3. Step 3: Cross multiply
   52,160x = 113,888 × 113,888
4. Step 4: Simplify right side
   52,160x = 12,970,476,544
5. Step 5: Solve for x
   x = 12,970,476,544/52,160
6. Step 6: Final answer
   x = 248,667.11