Finding the Third Proportional to 58,982 and 123,430

Step by Step Solution

1. Step 1: Write the proportion equation
   58,982 : 123,430 = 123,430 : x
2. Step 2: Convert to fraction form
   58,982/123,430 = 123,430/x
3. Step 3: Cross multiply
   58,982x = 123,430 × 123,430
4. Step 4: Simplify right side
   58,982x = 15,234,964,900
5. Step 5: Solve for x
   x = 15,234,964,900/58,982
6. Step 6: Final answer
   x = 258,298.55