Finding the Third Proportional to 123,352 and 266,128

Step by Step Solution

1. Step 1: Write the proportion equation
   123,352 : 266,128 = 266,128 : x
2. Step 2: Convert to fraction form
   123,352/266,128 = 266,128/x
3. Step 3: Cross multiply
   123,352x = 266,128 × 266,128
4. Step 4: Simplify right side
   123,352x = 70,824,112,384
5. Step 5: Solve for x
   x = 70,824,112,384/123,352
6. Step 6: Final answer
   x = 574,162.66