Finding the Third Proportional to 65,214 and 87,351.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,214 : 87,351.50 = 87,351.50 : x
2. Step 2: Convert to fraction form
   65,214/87,351.50 = 87,351.50/x
3. Step 3: Cross multiply
   65,214x = 87,351.50 × 87,351.50
4. Step 4: Simplify right side
   65,214x = 7,630,284,552.25
5. Step 5: Solve for x
   x = 7,630,284,552.25/65,214
6. Step 6: Final answer
   x = 117,003.78