Finding the Third Proportional to 40,196.25 and 85,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,196.25 : 85,729.50 = 85,729.50 : x
2. Step 2: Convert to fraction form
   40,196.25/85,729.50 = 85,729.50/x
3. Step 3: Cross multiply
   40,196.25x = 85,729.50 × 85,729.50
4. Step 4: Simplify right side
   40,196.25x = 7,349,547,170.25
5. Step 5: Solve for x
   x = 7,349,547,170.25/40,196.25
6. Step 6: Final answer
   x = 182,841.61