Finding the Third Proportional to 74,450 and 152,842

Step by Step Solution

1. Step 1: Write the proportion equation
   74,450 : 152,842 = 152,842 : x
2. Step 2: Convert to fraction form
   74,450/152,842 = 152,842/x
3. Step 3: Cross multiply
   74,450x = 152,842 × 152,842
4. Step 4: Simplify right side
   74,450x = 23,360,676,964
5. Step 5: Solve for x
   x = 23,360,676,964/74,450
6. Step 6: Final answer
   x = 313,776.72