Finding the Third Proportional to 53,638.50 and 115,707

Step by Step Solution

1. Step 1: Write the proportion equation
   53,638.50 : 115,707 = 115,707 : x
2. Step 2: Convert to fraction form
   53,638.50/115,707 = 115,707/x
3. Step 3: Cross multiply
   53,638.50x = 115,707 × 115,707
4. Step 4: Simplify right side
   53,638.50x = 13,388,109,849
5. Step 5: Solve for x
   x = 13,388,109,849/53,638.50
6. Step 6: Final answer
   x = 249,598.89