Finding the Third Proportional to 127,596 and 298,032

Step by Step Solution

1. Step 1: Write the proportion equation
   127,596 : 298,032 = 298,032 : x
2. Step 2: Convert to fraction form
   127,596/298,032 = 298,032/x
3. Step 3: Cross multiply
   127,596x = 298,032 × 298,032
4. Step 4: Simplify right side
   127,596x = 88,823,073,024
5. Step 5: Solve for x
   x = 88,823,073,024/127,596
6. Step 6: Final answer
   x = 696,127.41