Finding the Third Proportional to 333,047 and 507,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,047 : 507,913.50 = 507,913.50 : x
2. Step 2: Convert to fraction form
   333,047/507,913.50 = 507,913.50/x
3. Step 3: Cross multiply
   333,047x = 507,913.50 × 507,913.50
4. Step 4: Simplify right side
   333,047x = 257,976,123,482.25
5. Step 5: Solve for x
   x = 257,976,123,482.25/333,047
6. Step 6: Final answer
   x = 774,593.75