Finding the Third Proportional to 123,146 and 265,126

Step by Step Solution

1. Step 1: Write the proportion equation
   123,146 : 265,126 = 265,126 : x
2. Step 2: Convert to fraction form
   123,146/265,126 = 265,126/x
3. Step 3: Cross multiply
   123,146x = 265,126 × 265,126
4. Step 4: Simplify right side
   123,146x = 70,291,795,876
5. Step 5: Solve for x
   x = 70,291,795,876/123,146
6. Step 6: Final answer
   x = 570,800.48