Finding the Third Proportional to 53,131.50 and 109,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,131.50 : 109,378.50 = 109,378.50 : x
2. Step 2: Convert to fraction form
   53,131.50/109,378.50 = 109,378.50/x
3. Step 3: Cross multiply
   53,131.50x = 109,378.50 × 109,378.50
4. Step 4: Simplify right side
   53,131.50x = 11,963,656,262.25
5. Step 5: Solve for x
   x = 11,963,656,262.25/53,131.50
6. Step 6: Final answer
   x = 225,170.69