Finding the Third Proportional to 52,591 and 115,388

Step by Step Solution

1. Step 1: Write the proportion equation
   52,591 : 115,388 = 115,388 : x
2. Step 2: Convert to fraction form
   52,591/115,388 = 115,388/x
3. Step 3: Cross multiply
   52,591x = 115,388 × 115,388
4. Step 4: Simplify right side
   52,591x = 13,314,390,544
5. Step 5: Solve for x
   x = 13,314,390,544/52,591
6. Step 6: Final answer
   x = 253,168.61