Finding the Third Proportional to 78,842 and 182,333

Step by Step Solution

1. Step 1: Write the proportion equation
   78,842 : 182,333 = 182,333 : x
2. Step 2: Convert to fraction form
   78,842/182,333 = 182,333/x
3. Step 3: Cross multiply
   78,842x = 182,333 × 182,333
4. Step 4: Simplify right side
   78,842x = 33,245,322,889
5. Step 5: Solve for x
   x = 33,245,322,889/78,842
6. Step 6: Final answer
   x = 421,670.21