Finding the Third Proportional to 105,356 and 165,094

Step by Step Solution

1. Step 1: Write the proportion equation
   105,356 : 165,094 = 165,094 : x
2. Step 2: Convert to fraction form
   105,356/165,094 = 165,094/x
3. Step 3: Cross multiply
   105,356x = 165,094 × 165,094
4. Step 4: Simplify right side
   105,356x = 27,256,028,836
5. Step 5: Solve for x
   x = 27,256,028,836/105,356
6. Step 6: Final answer
   x = 258,704.10