Finding the Third Proportional to 70,536 and 150,778

Step by Step Solution

1. Step 1: Write the proportion equation
   70,536 : 150,778 = 150,778 : x
2. Step 2: Convert to fraction form
   70,536/150,778 = 150,778/x
3. Step 3: Cross multiply
   70,536x = 150,778 × 150,778
4. Step 4: Simplify right side
   70,536x = 22,734,005,284
5. Step 5: Solve for x
   x = 22,734,005,284/70,536
6. Step 6: Final answer
   x = 322,303.58