Finding the Third Proportional to 52,411 and 113,164

Step by Step Solution

1. Step 1: Write the proportion equation
   52,411 : 113,164 = 113,164 : x
2. Step 2: Convert to fraction form
   52,411/113,164 = 113,164/x
3. Step 3: Cross multiply
   52,411x = 113,164 × 113,164
4. Step 4: Simplify right side
   52,411x = 12,806,090,896
5. Step 5: Solve for x
   x = 12,806,090,896/52,411
6. Step 6: Final answer
   x = 244,339.75