Finding the Third Proportional to 78,844 and 182,338

Step by Step Solution

1. Step 1: Write the proportion equation
   78,844 : 182,338 = 182,338 : x
2. Step 2: Convert to fraction form
   78,844/182,338 = 182,338/x
3. Step 3: Cross multiply
   78,844x = 182,338 × 182,338
4. Step 4: Simplify right side
   78,844x = 33,247,146,244
5. Step 5: Solve for x
   x = 33,247,146,244/78,844
6. Step 6: Final answer
   x = 421,682.64