Finding the Third Proportional to 116,275.50 and 256,122

Step by Step Solution

1. Step 1: Write the proportion equation
   116,275.50 : 256,122 = 256,122 : x
2. Step 2: Convert to fraction form
   116,275.50/256,122 = 256,122/x
3. Step 3: Cross multiply
   116,275.50x = 256,122 × 256,122
4. Step 4: Simplify right side
   116,275.50x = 65,598,478,884
5. Step 5: Solve for x
   x = 65,598,478,884/116,275.50
6. Step 6: Final answer
   x = 564,164.24