Finding the Third Proportional to 320,598.50 and 500,307

Step by Step Solution

1. Step 1: Write the proportion equation
   320,598.50 : 500,307 = 500,307 : x
2. Step 2: Convert to fraction form
   320,598.50/500,307 = 500,307/x
3. Step 3: Cross multiply
   320,598.50x = 500,307 × 500,307
4. Step 4: Simplify right side
   320,598.50x = 250,307,094,249
5. Step 5: Solve for x
   x = 250,307,094,249/320,598.50
6. Step 6: Final answer
   x = 780,749.42