Finding the Third Proportional to 140,091 and 299,865

Step by Step Solution

1. Step 1: Write the proportion equation
   140,091 : 299,865 = 299,865 : x
2. Step 2: Convert to fraction form
   140,091/299,865 = 299,865/x
3. Step 3: Cross multiply
   140,091x = 299,865 × 299,865
4. Step 4: Simplify right side
   140,091x = 89,919,018,225
5. Step 5: Solve for x
   x = 89,919,018,225/140,091
6. Step 6: Final answer
   x = 641,861.49