Finding the Third Proportional to 70,774 and 152,030

Step by Step Solution

1. Step 1: Write the proportion equation
   70,774 : 152,030 = 152,030 : x
2. Step 2: Convert to fraction form
   70,774/152,030 = 152,030/x
3. Step 3: Cross multiply
   70,774x = 152,030 × 152,030
4. Step 4: Simplify right side
   70,774x = 23,113,120,900
5. Step 5: Solve for x
   x = 23,113,120,900/70,774
6. Step 6: Final answer
   x = 326,576.44