Finding the Third Proportional to 138,834 and 188,132.63

Step by Step Solution

1. Step 1: Write the proportion equation
   138,834 : 188,132.63 = 188,132.63 : x
2. Step 2: Convert to fraction form
   138,834/188,132.63 = 188,132.63/x
3. Step 3: Cross multiply
   138,834x = 188,132.63 × 188,132.63
4. Step 4: Simplify right side
   138,834x = 35,393,884,589.39
5. Step 5: Solve for x
   x = 35,393,884,589.39/138,834
6. Step 6: Final answer
   x = 254,936.72