Finding the Third Proportional to 127,971 and 298,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,971 : 298,957.50 = 298,957.50 : x
2. Step 2: Convert to fraction form
   127,971/298,957.50 = 298,957.50/x
3. Step 3: Cross multiply
   127,971x = 298,957.50 × 298,957.50
4. Step 4: Simplify right side
   127,971x = 89,375,586,806.25
5. Step 5: Solve for x
   x = 89,375,586,806.25/127,971
6. Step 6: Final answer
   x = 698,405.00