Finding the Third Proportional to 127,575 and 182,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,575 : 182,614.50 = 182,614.50 : x
2. Step 2: Convert to fraction form
   127,575/182,614.50 = 182,614.50/x
3. Step 3: Cross multiply
   127,575x = 182,614.50 × 182,614.50
4. Step 4: Simplify right side
   127,575x = 33,348,055,610.25
5. Step 5: Solve for x
   x = 33,348,055,610.25/127,575
6. Step 6: Final answer
   x = 261,399.61