Finding the Third Proportional to 123,140 and 265,114

Step by Step Solution

1. Step 1: Write the proportion equation
   123,140 : 265,114 = 265,114 : x
2. Step 2: Convert to fraction form
   123,140/265,114 = 265,114/x
3. Step 3: Cross multiply
   123,140x = 265,114 × 265,114
4. Step 4: Simplify right side
   123,140x = 70,285,432,996
5. Step 5: Solve for x
   x = 70,285,432,996/123,140
6. Step 6: Final answer
   x = 570,776.62