Finding the Third Proportional to 301,302 and 413,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,302 : 413,155.50 = 413,155.50 : x
2. Step 2: Convert to fraction form
   301,302/413,155.50 = 413,155.50/x
3. Step 3: Cross multiply
   301,302x = 413,155.50 × 413,155.50
4. Step 4: Simplify right side
   301,302x = 170,697,467,180.25
5. Step 5: Solve for x
   x = 170,697,467,180.25/301,302
6. Step 6: Final answer
   x = 566,532.80