Finding the Third Proportional to 127,165.50 and 201,321

Step by Step Solution

1. Step 1: Write the proportion equation
   127,165.50 : 201,321 = 201,321 : x
2. Step 2: Convert to fraction form
   127,165.50/201,321 = 201,321/x
3. Step 3: Cross multiply
   127,165.50x = 201,321 × 201,321
4. Step 4: Simplify right side
   127,165.50x = 40,530,145,041
5. Step 5: Solve for x
   x = 40,530,145,041/127,165.50
6. Step 6: Final answer
   x = 318,719.66