Finding the Third Proportional to 70,491 and 152,598

Step by Step Solution

1. Step 1: Write the proportion equation
   70,491 : 152,598 = 152,598 : x
2. Step 2: Convert to fraction form
   70,491/152,598 = 152,598/x
3. Step 3: Cross multiply
   70,491x = 152,598 × 152,598
4. Step 4: Simplify right side
   70,491x = 23,286,149,604
5. Step 5: Solve for x
   x = 23,286,149,604/70,491
6. Step 6: Final answer
   x = 330,342.17