Finding the Third Proportional to 333,148.50 and 508,005

Step by Step Solution

1. Step 1: Write the proportion equation
   333,148.50 : 508,005 = 508,005 : x
2. Step 2: Convert to fraction form
   333,148.50/508,005 = 508,005/x
3. Step 3: Cross multiply
   333,148.50x = 508,005 × 508,005
4. Step 4: Simplify right side
   333,148.50x = 258,069,080,025
5. Step 5: Solve for x
   x = 258,069,080,025/333,148.50
6. Step 6: Final answer
   x = 774,636.78