Finding the Third Proportional to 45,284.50 and 86,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,284.50 : 86,462.50 = 86,462.50 : x
2. Step 2: Convert to fraction form
   45,284.50/86,462.50 = 86,462.50/x
3. Step 3: Cross multiply
   45,284.50x = 86,462.50 × 86,462.50
4. Step 4: Simplify right side
   45,284.50x = 7,475,763,906.25
5. Step 5: Solve for x
   x = 7,475,763,906.25/45,284.50
6. Step 6: Final answer
   x = 165,084.39