Finding the Third Proportional to 89,742.94 and 138,940.31

Step by Step Solution

1. Step 1: Write the proportion equation
   89,742.94 : 138,940.31 = 138,940.31 : x
2. Step 2: Convert to fraction form
   89,742.94/138,940.31 = 138,940.31/x
3. Step 3: Cross multiply
   89,742.94x = 138,940.31 × 138,940.31
4. Step 4: Simplify right side
   89,742.94x = 19,304,410,437.60
5. Step 5: Solve for x
   x = 19,304,410,437.60/89,742.94
6. Step 6: Final answer
   x = 215,107.85