Finding the Third Proportional to 123,471 and 272,646

Step by Step Solution

1. Step 1: Write the proportion equation
   123,471 : 272,646 = 272,646 : x
2. Step 2: Convert to fraction form
   123,471/272,646 = 272,646/x
3. Step 3: Cross multiply
   123,471x = 272,646 × 272,646
4. Step 4: Simplify right side
   123,471x = 74,335,841,316
5. Step 5: Solve for x
   x = 74,335,841,316/123,471
6. Step 6: Final answer
   x = 602,051.02