Finding the Third Proportional to 127,888 and 298,704

Step by Step Solution

1. Step 1: Write the proportion equation
   127,888 : 298,704 = 298,704 : x
2. Step 2: Convert to fraction form
   127,888/298,704 = 298,704/x
3. Step 3: Cross multiply
   127,888x = 298,704 × 298,704
4. Step 4: Simplify right side
   127,888x = 89,224,079,616
5. Step 5: Solve for x
   x = 89,224,079,616/127,888
6. Step 6: Final answer
   x = 697,673.59