Finding the Third Proportional to 152,636 and 224,535

Step by Step Solution

1. Step 1: Write the proportion equation
   152,636 : 224,535 = 224,535 : x
2. Step 2: Convert to fraction form
   152,636/224,535 = 224,535/x
3. Step 3: Cross multiply
   152,636x = 224,535 × 224,535
4. Step 4: Simplify right side
   152,636x = 50,415,966,225
5. Step 5: Solve for x
   x = 50,415,966,225/152,636
6. Step 6: Final answer
   x = 330,301.94