Finding the Third Proportional to 83,567.75 and 182,925.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,567.75 : 182,925.50 = 182,925.50 : x
2. Step 2: Convert to fraction form
   83,567.75/182,925.50 = 182,925.50/x
3. Step 3: Cross multiply
   83,567.75x = 182,925.50 × 182,925.50
4. Step 4: Simplify right side
   83,567.75x = 33,461,738,550.25
5. Step 5: Solve for x
   x = 33,461,738,550.25/83,567.75
6. Step 6: Final answer
   x = 400,414.50