Finding the Third Proportional to 98,823 and 144,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,823 : 144,022.50 = 144,022.50 : x
2. Step 2: Convert to fraction form
   98,823/144,022.50 = 144,022.50/x
3. Step 3: Cross multiply
   98,823x = 144,022.50 × 144,022.50
4. Step 4: Simplify right side
   98,823x = 20,742,480,506.25
5. Step 5: Solve for x
   x = 20,742,480,506.25/98,823
6. Step 6: Final answer
   x = 209,895.27