Finding the Third Proportional to 298,972 and 402,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   298,972 : 402,778.50 = 402,778.50 : x
2. Step 2: Convert to fraction form
   298,972/402,778.50 = 402,778.50/x
3. Step 3: Cross multiply
   298,972x = 402,778.50 × 402,778.50
4. Step 4: Simplify right side
   298,972x = 162,230,520,062.25
5. Step 5: Solve for x
   x = 162,230,520,062.25/298,972
6. Step 6: Final answer
   x = 542,627.80