Finding the Third Proportional to 89,784 and 189,288

Step by Step Solution

1. Step 1: Write the proportion equation
   89,784 : 189,288 = 189,288 : x
2. Step 2: Convert to fraction form
   89,784/189,288 = 189,288/x
3. Step 3: Cross multiply
   89,784x = 189,288 × 189,288
4. Step 4: Simplify right side
   89,784x = 35,829,946,944
5. Step 5: Solve for x
   x = 35,829,946,944/89,784
6. Step 6: Final answer
   x = 399,068.29