Finding the Third Proportional to 87,768 and 189,333

Step by Step Solution

1. Step 1: Write the proportion equation
   87,768 : 189,333 = 189,333 : x
2. Step 2: Convert to fraction form
   87,768/189,333 = 189,333/x
3. Step 3: Cross multiply
   87,768x = 189,333 × 189,333
4. Step 4: Simplify right side
   87,768x = 35,846,984,889
5. Step 5: Solve for x
   x = 35,846,984,889/87,768
6. Step 6: Final answer
   x = 408,428.87