Finding the Third Proportional to 123,122.25 and 265,077

Step by Step Solution

1. Step 1: Write the proportion equation
   123,122.25 : 265,077 = 265,077 : x
2. Step 2: Convert to fraction form
   123,122.25/265,077 = 265,077/x
3. Step 3: Cross multiply
   123,122.25x = 265,077 × 265,077
4. Step 4: Simplify right side
   123,122.25x = 70,265,815,929
5. Step 5: Solve for x
   x = 70,265,815,929/123,122.25
6. Step 6: Final answer
   x = 570,699.58