Finding the Third Proportional to 105,861 and 164,094

Step by Step Solution

1. Step 1: Write the proportion equation
   105,861 : 164,094 = 164,094 : x
2. Step 2: Convert to fraction form
   105,861/164,094 = 164,094/x
3. Step 3: Cross multiply
   105,861x = 164,094 × 164,094
4. Step 4: Simplify right side
   105,861x = 26,926,840,836
5. Step 5: Solve for x
   x = 26,926,840,836/105,861
6. Step 6: Final answer
   x = 254,360.35