Finding the Third Proportional to 70,496 and 152,608

Step by Step Solution

1. Step 1: Write the proportion equation
   70,496 : 152,608 = 152,608 : x
2. Step 2: Convert to fraction form
   70,496/152,608 = 152,608/x
3. Step 3: Cross multiply
   70,496x = 152,608 × 152,608
4. Step 4: Simplify right side
   70,496x = 23,289,201,664
5. Step 5: Solve for x
   x = 23,289,201,664/70,496
6. Step 6: Final answer
   x = 330,362.03