Finding the Third Proportional to 65,876 and 98,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,876 : 98,634.50 = 98,634.50 : x
2. Step 2: Convert to fraction form
   65,876/98,634.50 = 98,634.50/x
3. Step 3: Cross multiply
   65,876x = 98,634.50 × 98,634.50
4. Step 4: Simplify right side
   65,876x = 9,728,764,590.25
5. Step 5: Solve for x
   x = 9,728,764,590.25/65,876
6. Step 6: Final answer
   x = 147,682.99