Finding the Third Proportional to 116,789 and 256,185

Step by Step Solution

1. Step 1: Write the proportion equation
   116,789 : 256,185 = 256,185 : x
2. Step 2: Convert to fraction form
   116,789/256,185 = 256,185/x
3. Step 3: Cross multiply
   116,789x = 256,185 × 256,185
4. Step 4: Simplify right side
   116,789x = 65,630,754,225
5. Step 5: Solve for x
   x = 65,630,754,225/116,789
6. Step 6: Final answer
   x = 561,960.07