Finding the Third Proportional to 123,058 and 263,178

Step by Step Solution

1. Step 1: Write the proportion equation
   123,058 : 263,178 = 263,178 : x
2. Step 2: Convert to fraction form
   123,058/263,178 = 263,178/x
3. Step 3: Cross multiply
   123,058x = 263,178 × 263,178
4. Step 4: Simplify right side
   123,058x = 69,262,659,684
5. Step 5: Solve for x
   x = 69,262,659,684/123,058
6. Step 6: Final answer
   x = 562,845.65