Finding the Third Proportional to 53,653.50 and 116,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,653.50 : 116,647.50 = 116,647.50 : x
2. Step 2: Convert to fraction form
   53,653.50/116,647.50 = 116,647.50/x
3. Step 3: Cross multiply
   53,653.50x = 116,647.50 × 116,647.50
4. Step 4: Simplify right side
   53,653.50x = 13,606,639,256.25
5. Step 5: Solve for x
   x = 13,606,639,256.25/53,653.50
6. Step 6: Final answer
   x = 253,602.08