Finding the Third Proportional to 140,155.50 and 188,848.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,155.50 : 188,848.50 = 188,848.50 : x
2. Step 2: Convert to fraction form
   140,155.50/188,848.50 = 188,848.50/x
3. Step 3: Cross multiply
   140,155.50x = 188,848.50 × 188,848.50
4. Step 4: Simplify right side
   140,155.50x = 35,663,755,952.25
5. Step 5: Solve for x
   x = 35,663,755,952.25/140,155.50
6. Step 6: Final answer
   x = 254,458.48