Finding the Third Proportional to 140,178 and 201,500

Step by Step Solution

1. Step 1: Write the proportion equation
   140,178 : 201,500 = 201,500 : x
2. Step 2: Convert to fraction form
   140,178/201,500 = 201,500/x
3. Step 3: Cross multiply
   140,178x = 201,500 × 201,500
4. Step 4: Simplify right side
   140,178x = 40,602,250,000
5. Step 5: Solve for x
   x = 40,602,250,000/140,178
6. Step 6: Final answer
   x = 289,647.80