Finding the Third Proportional to 140,259 and 197,284.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,259 : 197,284.50 = 197,284.50 : x
2. Step 2: Convert to fraction form
   140,259/197,284.50 = 197,284.50/x
3. Step 3: Cross multiply
   140,259x = 197,284.50 × 197,284.50
4. Step 4: Simplify right side
   140,259x = 38,921,173,940.25
5. Step 5: Solve for x
   x = 38,921,173,940.25/140,259
6. Step 6: Final answer
   x = 277,495.02