Finding the Third Proportional to 123,146 and 265,732

Step by Step Solution

1. Step 1: Write the proportion equation
   123,146 : 265,732 = 265,732 : x
2. Step 2: Convert to fraction form
   123,146/265,732 = 265,732/x
3. Step 3: Cross multiply
   123,146x = 265,732 × 265,732
4. Step 4: Simplify right side
   123,146x = 70,613,495,824
5. Step 5: Solve for x
   x = 70,613,495,824/123,146
6. Step 6: Final answer
   x = 573,412.83