Finding the Third Proportional to 72,435 and 152,736

Step by Step Solution

1. Step 1: Write the proportion equation
   72,435 : 152,736 = 152,736 : x
2. Step 2: Convert to fraction form
   72,435/152,736 = 152,736/x
3. Step 3: Cross multiply
   72,435x = 152,736 × 152,736
4. Step 4: Simplify right side
   72,435x = 23,328,285,696
5. Step 5: Solve for x
   x = 23,328,285,696/72,435
6. Step 6: Final answer
   x = 322,058.20