Finding the Third Proportional to 123,148 and 265,514

Step by Step Solution

1. Step 1: Write the proportion equation
   123,148 : 265,514 = 265,514 : x
2. Step 2: Convert to fraction form
   123,148/265,514 = 265,514/x
3. Step 3: Cross multiply
   123,148x = 265,514 × 265,514
4. Step 4: Simplify right side
   123,148x = 70,497,684,196
5. Step 5: Solve for x
   x = 70,497,684,196/123,148
6. Step 6: Final answer
   x = 572,463.09