Finding the Third Proportional to 53,817 and 117,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,817 : 117,322.50 = 117,322.50 : x
2. Step 2: Convert to fraction form
   53,817/117,322.50 = 117,322.50/x
3. Step 3: Cross multiply
   53,817x = 117,322.50 × 117,322.50
4. Step 4: Simplify right side
   53,817x = 13,764,569,006.25
5. Step 5: Solve for x
   x = 13,764,569,006.25/53,817
6. Step 6: Final answer
   x = 255,766.19