Finding the Third Proportional to 117,560.25 and 256,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,560.25 : 256,099.50 = 256,099.50 : x
2. Step 2: Convert to fraction form
   117,560.25/256,099.50 = 256,099.50/x
3. Step 3: Cross multiply
   117,560.25x = 256,099.50 × 256,099.50
4. Step 4: Simplify right side
   117,560.25x = 65,586,953,900.25
5. Step 5: Solve for x
   x = 65,586,953,900.25/117,560.25
6. Step 6: Final answer
   x = 557,900.77