Finding the Third Proportional to 41,054 and 84,298

Step by Step Solution

1. Step 1: Write the proportion equation
   41,054 : 84,298 = 84,298 : x
2. Step 2: Convert to fraction form
   41,054/84,298 = 84,298/x
3. Step 3: Cross multiply
   41,054x = 84,298 × 84,298
4. Step 4: Simplify right side
   41,054x = 7,106,152,804
5. Step 5: Solve for x
   x = 7,106,152,804/41,054
6. Step 6: Final answer
   x = 173,092.82