Finding the Third Proportional to 127,746 and 298,377

Step by Step Solution

1. Step 1: Write the proportion equation
   127,746 : 298,377 = 298,377 : x
2. Step 2: Convert to fraction form
   127,746/298,377 = 298,377/x
3. Step 3: Cross multiply
   127,746x = 298,377 × 298,377
4. Step 4: Simplify right side
   127,746x = 89,028,834,129
5. Step 5: Solve for x
   x = 89,028,834,129/127,746
6. Step 6: Final answer
   x = 696,920.72