Finding the Third Proportional to 83,991.75 and 182,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,991.75 : 182,743.50 = 182,743.50 : x
2. Step 2: Convert to fraction form
   83,991.75/182,743.50 = 182,743.50/x
3. Step 3: Cross multiply
   83,991.75x = 182,743.50 × 182,743.50
4. Step 4: Simplify right side
   83,991.75x = 33,395,186,792.25
5. Step 5: Solve for x
   x = 33,395,186,792.25/83,991.75
6. Step 6: Final answer
   x = 397,600.80