Finding the Third Proportional to 370,152 and 501,608

Step by Step Solution

1. Step 1: Write the proportion equation
   370,152 : 501,608 = 501,608 : x
2. Step 2: Convert to fraction form
   370,152/501,608 = 501,608/x
3. Step 3: Cross multiply
   370,152x = 501,608 × 501,608
4. Step 4: Simplify right side
   370,152x = 251,610,585,664
5. Step 5: Solve for x
   x = 251,610,585,664/370,152
6. Step 6: Final answer
   x = 679,749.36