Finding the Third Proportional to 123,178 and 265,584

Step by Step Solution

1. Step 1: Write the proportion equation
   123,178 : 265,584 = 265,584 : x
2. Step 2: Convert to fraction form
   123,178/265,584 = 265,584/x
3. Step 3: Cross multiply
   123,178x = 265,584 × 265,584
4. Step 4: Simplify right side
   123,178x = 70,534,861,056
5. Step 5: Solve for x
   x = 70,534,861,056/123,178
6. Step 6: Final answer
   x = 572,625.48