Finding the Third Proportional to 140,314 and 298,156

Step by Step Solution

1. Step 1: Write the proportion equation
   140,314 : 298,156 = 298,156 : x
2. Step 2: Convert to fraction form
   140,314/298,156 = 298,156/x
3. Step 3: Cross multiply
   140,314x = 298,156 × 298,156
4. Step 4: Simplify right side
   140,314x = 88,897,000,336
5. Step 5: Solve for x
   x = 88,897,000,336/140,314
6. Step 6: Final answer
   x = 633,557.59