Finding the Third Proportional to 123,277.50 and 265,284

Step by Step Solution

1. Step 1: Write the proportion equation
   123,277.50 : 265,284 = 265,284 : x
2. Step 2: Convert to fraction form
   123,277.50/265,284 = 265,284/x
3. Step 3: Cross multiply
   123,277.50x = 265,284 × 265,284
4. Step 4: Simplify right side
   123,277.50x = 70,375,600,656
5. Step 5: Solve for x
   x = 70,375,600,656/123,277.50
6. Step 6: Final answer
   x = 570,871.41