Finding the Third Proportional to 123,110 and 265,051

Step by Step Solution

1. Step 1: Write the proportion equation
   123,110 : 265,051 = 265,051 : x
2. Step 2: Convert to fraction form
   123,110/265,051 = 265,051/x
3. Step 3: Cross multiply
   123,110x = 265,051 × 265,051
4. Step 4: Simplify right side
   123,110x = 70,252,032,601
5. Step 5: Solve for x
   x = 70,252,032,601/123,110
6. Step 6: Final answer
   x = 570,644.40