Finding the Third Proportional to 69,874 and 98,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,874 : 98,776.50 = 98,776.50 : x
2. Step 2: Convert to fraction form
   69,874/98,776.50 = 98,776.50/x
3. Step 3: Cross multiply
   69,874x = 98,776.50 × 98,776.50
4. Step 4: Simplify right side
   69,874x = 9,756,796,952.25
5. Step 5: Solve for x
   x = 9,756,796,952.25/69,874
6. Step 6: Final answer
   x = 139,634.16