Finding the Third Proportional to 52,584 and 116,344

Step by Step Solution

1. Step 1: Write the proportion equation
   52,584 : 116,344 = 116,344 : x
2. Step 2: Convert to fraction form
   52,584/116,344 = 116,344/x
3. Step 3: Cross multiply
   52,584x = 116,344 × 116,344
4. Step 4: Simplify right side
   52,584x = 13,535,926,336
5. Step 5: Solve for x
   x = 13,535,926,336/52,584
6. Step 6: Final answer
   x = 257,415.30