Finding the Third Proportional to 123,354 and 265,412.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,354 : 265,412.25 = 265,412.25 : x
2. Step 2: Convert to fraction form
   123,354/265,412.25 = 265,412.25/x
3. Step 3: Cross multiply
   123,354x = 265,412.25 × 265,412.25
4. Step 4: Simplify right side
   123,354x = 70,443,662,450.06
5. Step 5: Solve for x
   x = 70,443,662,450.06/123,354
6. Step 6: Final answer
   x = 571,069.14