Finding the Third Proportional to 70,766 and 152,014

Step by Step Solution

1. Step 1: Write the proportion equation
   70,766 : 152,014 = 152,014 : x
2. Step 2: Convert to fraction form
   70,766/152,014 = 152,014/x
3. Step 3: Cross multiply
   70,766x = 152,014 × 152,014
4. Step 4: Simplify right side
   70,766x = 23,108,256,196
5. Step 5: Solve for x
   x = 23,108,256,196/70,766
6. Step 6: Final answer
   x = 326,544.61