Finding the Third Proportional to 333,145.50 and 511,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,145.50 : 511,752.50 = 511,752.50 : x
2. Step 2: Convert to fraction form
   333,145.50/511,752.50 = 511,752.50/x
3. Step 3: Cross multiply
   333,145.50x = 511,752.50 × 511,752.50
4. Step 4: Simplify right side
   333,145.50x = 261,890,621,256.25
5. Step 5: Solve for x
   x = 261,890,621,256.25/333,145.50
6. Step 6: Final answer
   x = 786,114.84