Finding the Third Proportional to 123,351 and 265,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,351 : 265,735.50 = 265,735.50 : x
2. Step 2: Convert to fraction form
   123,351/265,735.50 = 265,735.50/x
3. Step 3: Cross multiply
   123,351x = 265,735.50 × 265,735.50
4. Step 4: Simplify right side
   123,351x = 70,615,355,960.25
5. Step 5: Solve for x
   x = 70,615,355,960.25/123,351
6. Step 6: Final answer
   x = 572,474.94