Finding the Third Proportional to 90,506 and 189,274

Step by Step Solution

1. Step 1: Write the proportion equation
   90,506 : 189,274 = 189,274 : x
2. Step 2: Convert to fraction form
   90,506/189,274 = 189,274/x
3. Step 3: Cross multiply
   90,506x = 189,274 × 189,274
4. Step 4: Simplify right side
   90,506x = 35,824,647,076
5. Step 5: Solve for x
   x = 35,824,647,076/90,506
6. Step 6: Final answer
   x = 395,826.21