Finding the Third Proportional to 138,607.50 and 182,004

Step by Step Solution

1. Step 1: Write the proportion equation
   138,607.50 : 182,004 = 182,004 : x
2. Step 2: Convert to fraction form
   138,607.50/182,004 = 182,004/x
3. Step 3: Cross multiply
   138,607.50x = 182,004 × 182,004
4. Step 4: Simplify right side
   138,607.50x = 33,125,456,016
5. Step 5: Solve for x
   x = 33,125,456,016/138,607.50
6. Step 6: Final answer
   x = 238,987.47