Finding the Third Proportional to 45,869 and 98,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,869 : 98,519.50 = 98,519.50 : x
2. Step 2: Convert to fraction form
   45,869/98,519.50 = 98,519.50/x
3. Step 3: Cross multiply
   45,869x = 98,519.50 × 98,519.50
4. Step 4: Simplify right side
   45,869x = 9,706,091,880.25
5. Step 5: Solve for x
   x = 9,706,091,880.25/45,869
6. Step 6: Final answer
   x = 211,604.61