Finding the Third Proportional to 103,628 and 164,784

Step by Step Solution

1. Step 1: Write the proportion equation
   103,628 : 164,784 = 164,784 : x
2. Step 2: Convert to fraction form
   103,628/164,784 = 164,784/x
3. Step 3: Cross multiply
   103,628x = 164,784 × 164,784
4. Step 4: Simplify right side
   103,628x = 27,153,766,656
5. Step 5: Solve for x
   x = 27,153,766,656/103,628
6. Step 6: Final answer
   x = 262,031.18