Finding the Third Proportional to 140,524 and 205,528

Step by Step Solution

1. Step 1: Write the proportion equation
   140,524 : 205,528 = 205,528 : x
2. Step 2: Convert to fraction form
   140,524/205,528 = 205,528/x
3. Step 3: Cross multiply
   140,524x = 205,528 × 205,528
4. Step 4: Simplify right side
   140,524x = 42,241,758,784
5. Step 5: Solve for x
   x = 42,241,758,784/140,524
6. Step 6: Final answer
   x = 300,601.74