Finding the Third Proportional to 123,156 and 265,140

Step by Step Solution

1. Step 1: Write the proportion equation
   123,156 : 265,140 = 265,140 : x
2. Step 2: Convert to fraction form
   123,156/265,140 = 265,140/x
3. Step 3: Cross multiply
   123,156x = 265,140 × 265,140
4. Step 4: Simplify right side
   123,156x = 70,299,219,600
5. Step 5: Solve for x
   x = 70,299,219,600/123,156
6. Step 6: Final answer
   x = 570,814.41