Finding the Third Proportional to 118,627 and 164,494

Step by Step Solution

1. Step 1: Write the proportion equation
   118,627 : 164,494 = 164,494 : x
2. Step 2: Convert to fraction form
   118,627/164,494 = 164,494/x
3. Step 3: Cross multiply
   118,627x = 164,494 × 164,494
4. Step 4: Simplify right side
   118,627x = 27,058,276,036
5. Step 5: Solve for x
   x = 27,058,276,036/118,627
6. Step 6: Final answer
   x = 228,095.43