Finding the Third Proportional to 83,083.50 and 182,781

Step by Step Solution

1. Step 1: Write the proportion equation
   83,083.50 : 182,781 = 182,781 : x
2. Step 2: Convert to fraction form
   83,083.50/182,781 = 182,781/x
3. Step 3: Cross multiply
   83,083.50x = 182,781 × 182,781
4. Step 4: Simplify right side
   83,083.50x = 33,408,893,961
5. Step 5: Solve for x
   x = 33,408,893,961/83,083.50
6. Step 6: Final answer
   x = 402,112.26