Finding the Third Proportional to 182,409.75 and 373,842

Step by Step Solution

1. Step 1: Write the proportion equation
   182,409.75 : 373,842 = 373,842 : x
2. Step 2: Convert to fraction form
   182,409.75/373,842 = 373,842/x
3. Step 3: Cross multiply
   182,409.75x = 373,842 × 373,842
4. Step 4: Simplify right side
   182,409.75x = 139,757,840,964
5. Step 5: Solve for x
   x = 139,757,840,964/182,409.75
6. Step 6: Final answer
   x = 766,175.28