Finding the Third Proportional to 127,591 and 298,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,591 : 298,016.50 = 298,016.50 : x
2. Step 2: Convert to fraction form
   127,591/298,016.50 = 298,016.50/x
3. Step 3: Cross multiply
   127,591x = 298,016.50 × 298,016.50
4. Step 4: Simplify right side
   127,591x = 88,813,834,272.25
5. Step 5: Solve for x
   x = 88,813,834,272.25/127,591
6. Step 6: Final answer
   x = 696,082.28