Finding the Third Proportional to 140,185 and 201,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,185 : 201,505.50 = 201,505.50 : x
2. Step 2: Convert to fraction form
   140,185/201,505.50 = 201,505.50/x
3. Step 3: Cross multiply
   140,185x = 201,505.50 × 201,505.50
4. Step 4: Simplify right side
   140,185x = 40,604,466,530.25
5. Step 5: Solve for x
   x = 40,604,466,530.25/140,185
6. Step 6: Final answer
   x = 289,649.15