Finding the Third Proportional to 105,663 and 154,700

Step by Step Solution

1. Step 1: Write the proportion equation
   105,663 : 154,700 = 154,700 : x
2. Step 2: Convert to fraction form
   105,663/154,700 = 154,700/x
3. Step 3: Cross multiply
   105,663x = 154,700 × 154,700
4. Step 4: Simplify right side
   105,663x = 23,932,090,000
5. Step 5: Solve for x
   x = 23,932,090,000/105,663
6. Step 6: Final answer
   x = 226,494.52