Finding the Third Proportional to 140,261 and 197,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,261 : 197,287.50 = 197,287.50 : x
2. Step 2: Convert to fraction form
   140,261/197,287.50 = 197,287.50/x
3. Step 3: Cross multiply
   140,261x = 197,287.50 × 197,287.50
4. Step 4: Simplify right side
   140,261x = 38,922,357,656.25
5. Step 5: Solve for x
   x = 38,922,357,656.25/140,261
6. Step 6: Final answer
   x = 277,499.50