Finding the Third Proportional to 53,364 and 123,528

Step by Step Solution

1. Step 1: Write the proportion equation
   53,364 : 123,528 = 123,528 : x
2. Step 2: Convert to fraction form
   53,364/123,528 = 123,528/x
3. Step 3: Cross multiply
   53,364x = 123,528 × 123,528
4. Step 4: Simplify right side
   53,364x = 15,259,166,784
5. Step 5: Solve for x
   x = 15,259,166,784/53,364
6. Step 6: Final answer
   x = 285,944.96