Finding the Third Proportional to 58,768 and 123,584

Step by Step Solution

1. Step 1: Write the proportion equation
   58,768 : 123,584 = 123,584 : x
2. Step 2: Convert to fraction form
   58,768/123,584 = 123,584/x
3. Step 3: Cross multiply
   58,768x = 123,584 × 123,584
4. Step 4: Simplify right side
   58,768x = 15,273,005,056
5. Step 5: Solve for x
   x = 15,273,005,056/58,768
6. Step 6: Final answer
   x = 259,886.42