Finding the Third Proportional to 70,742 and 152,536

Step by Step Solution

1. Step 1: Write the proportion equation
   70,742 : 152,536 = 152,536 : x
2. Step 2: Convert to fraction form
   70,742/152,536 = 152,536/x
3. Step 3: Cross multiply
   70,742x = 152,536 × 152,536
4. Step 4: Simplify right side
   70,742x = 23,267,231,296
5. Step 5: Solve for x
   x = 23,267,231,296/70,742
6. Step 6: Final answer
   x = 328,902.65