Finding the Third Proportional to 70,151 and 152,884

Step by Step Solution

1. Step 1: Write the proportion equation
   70,151 : 152,884 = 152,884 : x
2. Step 2: Convert to fraction form
   70,151/152,884 = 152,884/x
3. Step 3: Cross multiply
   70,151x = 152,884 × 152,884
4. Step 4: Simplify right side
   70,151x = 23,373,517,456
5. Step 5: Solve for x
   x = 23,373,517,456/70,151
6. Step 6: Final answer
   x = 333,188.66