Finding the Third Proportional to 333,139.50 and 507,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,139.50 : 507,991.50 = 507,991.50 : x
2. Step 2: Convert to fraction form
   333,139.50/507,991.50 = 507,991.50/x
3. Step 3: Cross multiply
   333,139.50x = 507,991.50 × 507,991.50
4. Step 4: Simplify right side
   333,139.50x = 258,055,364,072.25
5. Step 5: Solve for x
   x = 258,055,364,072.25/333,139.50
6. Step 6: Final answer
   x = 774,616.53