Finding the Third Proportional to 140,152.50 and 188,844.75

Step by Step Solution

1. Step 1: Write the proportion equation
   140,152.50 : 188,844.75 = 188,844.75 : x
2. Step 2: Convert to fraction form
   140,152.50/188,844.75 = 188,844.75/x
3. Step 3: Cross multiply
   140,152.50x = 188,844.75 × 188,844.75
4. Step 4: Simplify right side
   140,152.50x = 35,662,339,602.56
5. Step 5: Solve for x
   x = 35,662,339,602.56/140,152.50
6. Step 6: Final answer
   x = 254,453.82