Finding the Third Proportional to 116,422.50 and 254,639.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116,422.50 : 254,639.25 = 254,639.25 : x
2. Step 2: Convert to fraction form
   116,422.50/254,639.25 = 254,639.25/x
3. Step 3: Cross multiply
   116,422.50x = 254,639.25 × 254,639.25
4. Step 4: Simplify right side
   116,422.50x = 64,841,147,640.56
5. Step 5: Solve for x
   x = 64,841,147,640.56/116,422.50
6. Step 6: Final answer
   x = 556,946.88