Finding the Third Proportional to 83,596 and 189,010

Step by Step Solution

1. Step 1: Write the proportion equation
   83,596 : 189,010 = 189,010 : x
2. Step 2: Convert to fraction form
   83,596/189,010 = 189,010/x
3. Step 3: Cross multiply
   83,596x = 189,010 × 189,010
4. Step 4: Simplify right side
   83,596x = 35,724,780,100
5. Step 5: Solve for x
   x = 35,724,780,100/83,596
6. Step 6: Final answer
   x = 427,350.35