Finding the Third Proportional to 111,642 and 151,602

Step by Step Solution

1. Step 1: Write the proportion equation
   111,642 : 151,602 = 151,602 : x
2. Step 2: Convert to fraction form
   111,642/151,602 = 151,602/x
3. Step 3: Cross multiply
   111,642x = 151,602 × 151,602
4. Step 4: Simplify right side
   111,642x = 22,983,166,404
5. Step 5: Solve for x
   x = 22,983,166,404/111,642
6. Step 6: Final answer
   x = 205,864.88