Finding the Third Proportional to 103,628 and 164,786

Step by Step Solution

1. Step 1: Write the proportion equation
   103,628 : 164,786 = 164,786 : x
2. Step 2: Convert to fraction form
   103,628/164,786 = 164,786/x
3. Step 3: Cross multiply
   103,628x = 164,786 × 164,786
4. Step 4: Simplify right side
   103,628x = 27,154,425,796
5. Step 5: Solve for x
   x = 27,154,425,796/103,628
6. Step 6: Final answer
   x = 262,037.54