Finding the Third Proportional to 118,496 and 166,656

Step by Step Solution

1. Step 1: Write the proportion equation
   118,496 : 166,656 = 166,656 : x
2. Step 2: Convert to fraction form
   118,496/166,656 = 166,656/x
3. Step 3: Cross multiply
   118,496x = 166,656 × 166,656
4. Step 4: Simplify right side
   118,496x = 27,774,222,336
5. Step 5: Solve for x
   x = 27,774,222,336/118,496
6. Step 6: Final answer
   x = 234,389.53