Finding the Third Proportional to 53,084.50 and 116,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,084.50 : 116,013.50 = 116,013.50 : x
2. Step 2: Convert to fraction form
   53,084.50/116,013.50 = 116,013.50/x
3. Step 3: Cross multiply
   53,084.50x = 116,013.50 × 116,013.50
4. Step 4: Simplify right side
   53,084.50x = 13,459,132,182.25
5. Step 5: Solve for x
   x = 13,459,132,182.25/53,084.50
6. Step 6: Final answer
   x = 253,541.66