Finding the Third Proportional to 123,234 and 265,692

Step by Step Solution

1. Step 1: Write the proportion equation
   123,234 : 265,692 = 265,692 : x
2. Step 2: Convert to fraction form
   123,234/265,692 = 265,692/x
3. Step 3: Cross multiply
   123,234x = 265,692 × 265,692
4. Step 4: Simplify right side
   123,234x = 70,592,238,864
5. Step 5: Solve for x
   x = 70,592,238,864/123,234
6. Step 6: Final answer
   x = 572,830.87