Finding the Third Proportional to 53,237.25 and 116,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,237.25 : 116,842.50 = 116,842.50 : x
2. Step 2: Convert to fraction form
   53,237.25/116,842.50 = 116,842.50/x
3. Step 3: Cross multiply
   53,237.25x = 116,842.50 × 116,842.50
4. Step 4: Simplify right side
   53,237.25x = 13,652,169,806.25
5. Step 5: Solve for x
   x = 13,652,169,806.25/53,237.25
6. Step 6: Final answer
   x = 256,440.18