Finding the Third Proportional to 127,722 and 193,351.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,722 : 193,351.50 = 193,351.50 : x
2. Step 2: Convert to fraction form
   127,722/193,351.50 = 193,351.50/x
3. Step 3: Cross multiply
   127,722x = 193,351.50 × 193,351.50
4. Step 4: Simplify right side
   127,722x = 37,384,802,552.25
5. Step 5: Solve for x
   x = 37,384,802,552.25/127,722
6. Step 6: Final answer
   x = 292,704.49