Finding the Third Proportional to 58,784 and 123,328

Step by Step Solution

1. Step 1: Write the proportion equation
   58,784 : 123,328 = 123,328 : x
2. Step 2: Convert to fraction form
   58,784/123,328 = 123,328/x
3. Step 3: Cross multiply
   58,784x = 123,328 × 123,328
4. Step 4: Simplify right side
   58,784x = 15,209,795,584
5. Step 5: Solve for x
   x = 15,209,795,584/58,784
6. Step 6: Final answer
   x = 258,740.40