Finding the Third Proportional to 369,922.50 and 501,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   369,922.50 : 501,298.50 = 501,298.50 : x
2. Step 2: Convert to fraction form
   369,922.50/501,298.50 = 501,298.50/x
3. Step 3: Cross multiply
   369,922.50x = 501,298.50 × 501,298.50
4. Step 4: Simplify right side
   369,922.50x = 251,300,186,102.25
5. Step 5: Solve for x
   x = 251,300,186,102.25/369,922.50
6. Step 6: Final answer
   x = 679,331.98