Finding the Third Proportional to 111,641 and 151,600

Step by Step Solution

1. Step 1: Write the proportion equation
   111,641 : 151,600 = 151,600 : x
2. Step 2: Convert to fraction form
   111,641/151,600 = 151,600/x
3. Step 3: Cross multiply
   111,641x = 151,600 × 151,600
4. Step 4: Simplify right side
   111,641x = 22,982,560,000
5. Step 5: Solve for x
   x = 22,982,560,000/111,641
6. Step 6: Final answer
   x = 205,861.29