Finding the Third Proportional to 189,814 and 385,082

Step by Step Solution

1. Step 1: Write the proportion equation
   189,814 : 385,082 = 385,082 : x
2. Step 2: Convert to fraction form
   189,814/385,082 = 385,082/x
3. Step 3: Cross multiply
   189,814x = 385,082 × 385,082
4. Step 4: Simplify right side
   189,814x = 148,288,146,724
5. Step 5: Solve for x
   x = 148,288,146,724/189,814
6. Step 6: Final answer
   x = 781,228.71