Finding the Third Proportional to 144,297 and 196,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,297 : 196,573.50 = 196,573.50 : x
2. Step 2: Convert to fraction form
   144,297/196,573.50 = 196,573.50/x
3. Step 3: Cross multiply
   144,297x = 196,573.50 × 196,573.50
4. Step 4: Simplify right side
   144,297x = 38,641,140,902.25
5. Step 5: Solve for x
   x = 38,641,140,902.25/144,297
6. Step 6: Final answer
   x = 267,788.94