Finding the Third Proportional to 53,388 and 123,580

Step by Step Solution

1. Step 1: Write the proportion equation
   53,388 : 123,580 = 123,580 : x
2. Step 2: Convert to fraction form
   53,388/123,580 = 123,580/x
3. Step 3: Cross multiply
   53,388x = 123,580 × 123,580
4. Step 4: Simplify right side
   53,388x = 15,272,016,400
5. Step 5: Solve for x
   x = 15,272,016,400/53,388
6. Step 6: Final answer
   x = 286,057.10