Finding the Third Proportional to 338,430 and 507,717.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,430 : 507,717.50 = 507,717.50 : x
2. Step 2: Convert to fraction form
   338,430/507,717.50 = 507,717.50/x
3. Step 3: Cross multiply
   338,430x = 507,717.50 × 507,717.50
4. Step 4: Simplify right side
   338,430x = 257,777,059,806.25
5. Step 5: Solve for x
   x = 257,777,059,806.25/338,430
6. Step 6: Final answer
   x = 761,685.02