Finding the Third Proportional to 53,424 and 114,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,424 : 114,259.50 = 114,259.50 : x
2. Step 2: Convert to fraction form
   53,424/114,259.50 = 114,259.50/x
3. Step 3: Cross multiply
   53,424x = 114,259.50 × 114,259.50
4. Step 4: Simplify right side
   53,424x = 13,055,233,340.25
5. Step 5: Solve for x
   x = 13,055,233,340.25/53,424
6. Step 6: Final answer
   x = 244,370.20