Finding the Third Proportional to 127,575 and 192,797.72

Step by Step Solution

1. Step 1: Write the proportion equation
   127,575 : 192,797.72 = 192,797.72 : x
2. Step 2: Convert to fraction form
   127,575/192,797.72 = 192,797.72/x
3. Step 3: Cross multiply
   127,575x = 192,797.72 × 192,797.72
4. Step 4: Simplify right side
   127,575x = 37,170,960,355.20
5. Step 5: Solve for x
   x = 37,170,960,355.20/127,575
6. Step 6: Final answer
   x = 291,365.55