Finding the Third Proportional to 70,829 and 152,587

Step by Step Solution

1. Step 1: Write the proportion equation
   70,829 : 152,587 = 152,587 : x
2. Step 2: Convert to fraction form
   70,829/152,587 = 152,587/x
3. Step 3: Cross multiply
   70,829x = 152,587 × 152,587
4. Step 4: Simplify right side
   70,829x = 23,282,792,569
5. Step 5: Solve for x
   x = 23,282,792,569/70,829
6. Step 6: Final answer
   x = 328,718.36