Finding the Third Proportional to 123,148 and 265,294

Step by Step Solution

1. Step 1: Write the proportion equation
   123,148 : 265,294 = 265,294 : x
2. Step 2: Convert to fraction form
   123,148/265,294 = 265,294/x
3. Step 3: Cross multiply
   123,148x = 265,294 × 265,294
4. Step 4: Simplify right side
   123,148x = 70,380,906,436
5. Step 5: Solve for x
   x = 70,380,906,436/123,148
6. Step 6: Final answer
   x = 571,514.81