Finding the Third Proportional to 369,922.50 and 501,302

Step by Step Solution

1. Step 1: Write the proportion equation
   369,922.50 : 501,302 = 501,302 : x
2. Step 2: Convert to fraction form
   369,922.50/501,302 = 501,302/x
3. Step 3: Cross multiply
   369,922.50x = 501,302 × 501,302
4. Step 4: Simplify right side
   369,922.50x = 251,303,695,204
5. Step 5: Solve for x
   x = 251,303,695,204/369,922.50
6. Step 6: Final answer
   x = 679,341.47