Finding the Third Proportional to 83,799 and 182,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,799 : 182,371.50 = 182,371.50 : x
2. Step 2: Convert to fraction form
   83,799/182,371.50 = 182,371.50/x
3. Step 3: Cross multiply
   83,799x = 182,371.50 × 182,371.50
4. Step 4: Simplify right side
   83,799x = 33,259,364,012.25
5. Step 5: Solve for x
   x = 33,259,364,012.25/83,799
6. Step 6: Final answer
   x = 396,894.52