Finding the Third Proportional to 78,628 and 164,546

Step by Step Solution

1. Step 1: Write the proportion equation
   78,628 : 164,546 = 164,546 : x
2. Step 2: Convert to fraction form
   78,628/164,546 = 164,546/x
3. Step 3: Cross multiply
   78,628x = 164,546 × 164,546
4. Step 4: Simplify right side
   78,628x = 27,075,386,116
5. Step 5: Solve for x
   x = 27,075,386,116/78,628
6. Step 6: Final answer
   x = 344,347.89