Finding the Third Proportional to 138,801 and 188,094

Step by Step Solution

1. Step 1: Write the proportion equation
   138,801 : 188,094 = 188,094 : x
2. Step 2: Convert to fraction form
   138,801/188,094 = 188,094/x
3. Step 3: Cross multiply
   138,801x = 188,094 × 188,094
4. Step 4: Simplify right side
   138,801x = 35,379,352,836
5. Step 5: Solve for x
   x = 35,379,352,836/138,801
6. Step 6: Final answer
   x = 254,892.64