Finding the Third Proportional to 53,459 and 116,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,459 : 116,024.50 = 116,024.50 : x
2. Step 2: Convert to fraction form
   53,459/116,024.50 = 116,024.50/x
3. Step 3: Cross multiply
   53,459x = 116,024.50 × 116,024.50
4. Step 4: Simplify right side
   53,459x = 13,461,684,600.25
5. Step 5: Solve for x
   x = 13,461,684,600.25/53,459
6. Step 6: Final answer
   x = 251,813.25