Finding the Third Proportional to 52,952 and 113,584

Step by Step Solution

1. Step 1: Write the proportion equation
   52,952 : 113,584 = 113,584 : x
2. Step 2: Convert to fraction form
   52,952/113,584 = 113,584/x
3. Step 3: Cross multiply
   52,952x = 113,584 × 113,584
4. Step 4: Simplify right side
   52,952x = 12,901,325,056
5. Step 5: Solve for x
   x = 12,901,325,056/52,952
6. Step 6: Final answer
   x = 243,641.88