Finding the Third Proportional to 70,440 and 152,824

Step by Step Solution

1. Step 1: Write the proportion equation
   70,440 : 152,824 = 152,824 : x
2. Step 2: Convert to fraction form
   70,440/152,824 = 152,824/x
3. Step 3: Cross multiply
   70,440x = 152,824 × 152,824
4. Step 4: Simplify right side
   70,440x = 23,355,174,976
5. Step 5: Solve for x
   x = 23,355,174,976/70,440
6. Step 6: Final answer
   x = 331,561.26