Finding the Third Proportional to 118,209.25 and 256,513

Step by Step Solution

1. Step 1: Write the proportion equation
   118,209.25 : 256,513 = 256,513 : x
2. Step 2: Convert to fraction form
   118,209.25/256,513 = 256,513/x
3. Step 3: Cross multiply
   118,209.25x = 256,513 × 256,513
4. Step 4: Simplify right side
   118,209.25x = 65,798,919,169
5. Step 5: Solve for x
   x = 65,798,919,169/118,209.25
6. Step 6: Final answer
   x = 556,630.88