Finding the Third Proportional to 83,592 and 189,000

Step by Step Solution

1. Step 1: Write the proportion equation
   83,592 : 189,000 = 189,000 : x
2. Step 2: Convert to fraction form
   83,592/189,000 = 189,000/x
3. Step 3: Cross multiply
   83,592x = 189,000 × 189,000
4. Step 4: Simplify right side
   83,592x = 35,721,000,000
5. Step 5: Solve for x
   x = 35,721,000,000/83,592
6. Step 6: Final answer
   x = 427,325.58