Finding the Third Proportional to 83,792.81 and 182,327.63

Step by Step Solution

1. Step 1: Write the proportion equation
   83,792.81 : 182,327.63 = 182,327.63 : x
2. Step 2: Convert to fraction form
   83,792.81/182,327.63 = 182,327.63/x
3. Step 3: Cross multiply
   83,792.81x = 182,327.63 × 182,327.63
4. Step 4: Simplify right side
   83,792.81x = 33,243,362,838.14
5. Step 5: Solve for x
   x = 33,243,362,838.14/83,792.81
6. Step 6: Final answer
   x = 396,732.87