Finding the Third Proportional to 70,405 and 152,842

Step by Step Solution

1. Step 1: Write the proportion equation
   70,405 : 152,842 = 152,842 : x
2. Step 2: Convert to fraction form
   70,405/152,842 = 152,842/x
3. Step 3: Cross multiply
   70,405x = 152,842 × 152,842
4. Step 4: Simplify right side
   70,405x = 23,360,676,964
5. Step 5: Solve for x
   x = 23,360,676,964/70,405
6. Step 6: Final answer
   x = 331,804.23