Finding the Third Proportional to 35,172 and 82,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,172 : 82,978.50 = 82,978.50 : x
2. Step 2: Convert to fraction form
   35,172/82,978.50 = 82,978.50/x
3. Step 3: Cross multiply
   35,172x = 82,978.50 × 82,978.50
4. Step 4: Simplify right side
   35,172x = 6,885,431,462.25
5. Step 5: Solve for x
   x = 6,885,431,462.25/35,172
6. Step 6: Final answer
   x = 195,764.57