Finding the Third Proportional to 123,364 and 265,432

Step by Step Solution

1. Step 1: Write the proportion equation
   123,364 : 265,432 = 265,432 : x
2. Step 2: Convert to fraction form
   123,364/265,432 = 265,432/x
3. Step 3: Cross multiply
   123,364x = 265,432 × 265,432
4. Step 4: Simplify right side
   123,364x = 70,454,146,624
5. Step 5: Solve for x
   x = 70,454,146,624/123,364
6. Step 6: Final answer
   x = 571,107.83