Finding the Third Proportional to 140,700 and 201,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,700 : 201,187.50 = 201,187.50 : x
2. Step 2: Convert to fraction form
   140,700/201,187.50 = 201,187.50/x
3. Step 3: Cross multiply
   140,700x = 201,187.50 × 201,187.50
4. Step 4: Simplify right side
   140,700x = 40,476,410,156.25
5. Step 5: Solve for x
   x = 40,476,410,156.25/140,700
6. Step 6: Final answer
   x = 287,678.82