Finding the Third Proportional to 123,368 and 265,091

Step by Step Solution

1. Step 1: Write the proportion equation
   123,368 : 265,091 = 265,091 : x
2. Step 2: Convert to fraction form
   123,368/265,091 = 265,091/x
3. Step 3: Cross multiply
   123,368x = 265,091 × 265,091
4. Step 4: Simplify right side
   123,368x = 70,273,238,281
5. Step 5: Solve for x
   x = 70,273,238,281/123,368
6. Step 6: Final answer
   x = 569,622.90