Finding the Third Proportional to 40,076.25 and 85,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,076.25 : 85,513.50 = 85,513.50 : x
2. Step 2: Convert to fraction form
   40,076.25/85,513.50 = 85,513.50/x
3. Step 3: Cross multiply
   40,076.25x = 85,513.50 × 85,513.50
4. Step 4: Simplify right side
   40,076.25x = 7,312,558,682.25
5. Step 5: Solve for x
   x = 7,312,558,682.25/40,076.25
6. Step 6: Final answer
   x = 182,466.14