Finding the Third Proportional to 90,426 and 189,114

Step by Step Solution

1. Step 1: Write the proportion equation
   90,426 : 189,114 = 189,114 : x
2. Step 2: Convert to fraction form
   90,426/189,114 = 189,114/x
3. Step 3: Cross multiply
   90,426x = 189,114 × 189,114
4. Step 4: Simplify right side
   90,426x = 35,764,104,996
5. Step 5: Solve for x
   x = 35,764,104,996/90,426
6. Step 6: Final answer
   x = 395,506.88