Finding the Third Proportional to 58,230 and 123,384

Step by Step Solution

1. Step 1: Write the proportion equation
   58,230 : 123,384 = 123,384 : x
2. Step 2: Convert to fraction form
   58,230/123,384 = 123,384/x
3. Step 3: Cross multiply
   58,230x = 123,384 × 123,384
4. Step 4: Simplify right side
   58,230x = 15,223,611,456
5. Step 5: Solve for x
   x = 15,223,611,456/58,230
6. Step 6: Final answer
   x = 261,439.32