Finding the Third Proportional to 105,282 and 154,659

Step by Step Solution

1. Step 1: Write the proportion equation
   105,282 : 154,659 = 154,659 : x
2. Step 2: Convert to fraction form
   105,282/154,659 = 154,659/x
3. Step 3: Cross multiply
   105,282x = 154,659 × 154,659
4. Step 4: Simplify right side
   105,282x = 23,919,406,281
5. Step 5: Solve for x
   x = 23,919,406,281/105,282
6. Step 6: Final answer
   x = 227,193.69