Finding the Third Proportional to 83,777.50 and 182,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,777.50 : 182,327.50 = 182,327.50 : x
2. Step 2: Convert to fraction form
   83,777.50/182,327.50 = 182,327.50/x
3. Step 3: Cross multiply
   83,777.50x = 182,327.50 × 182,327.50
4. Step 4: Simplify right side
   83,777.50x = 33,243,317,256.25
5. Step 5: Solve for x
   x = 33,243,317,256.25/83,777.50
6. Step 6: Final answer
   x = 396,804.84