Finding the Third Proportional to 182,841 and 277,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,841 : 277,789.50 = 277,789.50 : x
2. Step 2: Convert to fraction form
   182,841/277,789.50 = 277,789.50/x
3. Step 3: Cross multiply
   182,841x = 277,789.50 × 277,789.50
4. Step 4: Simplify right side
   182,841x = 77,167,006,310.25
5. Step 5: Solve for x
   x = 77,167,006,310.25/182,841
6. Step 6: Final answer
   x = 422,044.32