Finding the Third Proportional to 123,385 and 256,106

Step by Step Solution

1. Step 1: Write the proportion equation
   123,385 : 256,106 = 256,106 : x
2. Step 2: Convert to fraction form
   123,385/256,106 = 256,106/x
3. Step 3: Cross multiply
   123,385x = 256,106 × 256,106
4. Step 4: Simplify right side
   123,385x = 65,590,283,236
5. Step 5: Solve for x
   x = 65,590,283,236/123,385
6. Step 6: Final answer
   x = 531,590.41