Finding the Third Proportional to 152,636 and 224,538

Step by Step Solution

1. Step 1: Write the proportion equation
   152,636 : 224,538 = 224,538 : x
2. Step 2: Convert to fraction form
   152,636/224,538 = 224,538/x
3. Step 3: Cross multiply
   152,636x = 224,538 × 224,538
4. Step 4: Simplify right side
   152,636x = 50,417,313,444
5. Step 5: Solve for x
   x = 50,417,313,444/152,636
6. Step 6: Final answer
   x = 330,310.76