Finding the Third Proportional to 320,538.56 and 507,564.56

Step by Step Solution

1. Step 1: Write the proportion equation
   320,538.56 : 507,564.56 = 507,564.56 : x
2. Step 2: Convert to fraction form
   320,538.56/507,564.56 = 507,564.56/x
3. Step 3: Cross multiply
   320,538.56x = 507,564.56 × 507,564.56
4. Step 4: Simplify right side
   320,538.56x = 257,621,785,105.82
5. Step 5: Solve for x
   x = 257,621,785,105.82/320,538.56
6. Step 6: Final answer
   x = 803,715.42