Finding the Third Proportional to 370,144 and 501,596

Step by Step Solution

1. Step 1: Write the proportion equation
   370,144 : 501,596 = 501,596 : x
2. Step 2: Convert to fraction form
   370,144/501,596 = 501,596/x
3. Step 3: Cross multiply
   370,144x = 501,596 × 501,596
4. Step 4: Simplify right side
   370,144x = 251,598,547,216
5. Step 5: Solve for x
   x = 251,598,547,216/370,144
6. Step 6: Final answer
   x = 679,731.53