Finding the Third Proportional to 52,864 and 114,584

Step by Step Solution

1. Step 1: Write the proportion equation
   52,864 : 114,584 = 114,584 : x
2. Step 2: Convert to fraction form
   52,864/114,584 = 114,584/x
3. Step 3: Cross multiply
   52,864x = 114,584 × 114,584
4. Step 4: Simplify right side
   52,864x = 13,129,493,056
5. Step 5: Solve for x
   x = 13,129,493,056/52,864
6. Step 6: Final answer
   x = 248,363.59