Finding the Third Proportional to 300,156.50 and 533,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,156.50 : 533,761.50 = 533,761.50 : x
2. Step 2: Convert to fraction form
   300,156.50/533,761.50 = 533,761.50/x
3. Step 3: Cross multiply
   300,156.50x = 533,761.50 × 533,761.50
4. Step 4: Simplify right side
   300,156.50x = 284,901,338,882.25
5. Step 5: Solve for x
   x = 284,901,338,882.25/300,156.50
6. Step 6: Final answer
   x = 949,175.98