Finding the Third Proportional to 138,420 and 181,757.25

Step by Step Solution

1. Step 1: Write the proportion equation
   138,420 : 181,757.25 = 181,757.25 : x
2. Step 2: Convert to fraction form
   138,420/181,757.25 = 181,757.25/x
3. Step 3: Cross multiply
   138,420x = 181,757.25 × 181,757.25
4. Step 4: Simplify right side
   138,420x = 33,035,697,927.56
5. Step 5: Solve for x
   x = 33,035,697,927.56/138,420
6. Step 6: Final answer
   x = 238,662.75