Finding the Third Proportional to 123,564 and 266,178

Step by Step Solution

1. Step 1: Write the proportion equation
   123,564 : 266,178 = 266,178 : x
2. Step 2: Convert to fraction form
   123,564/266,178 = 266,178/x
3. Step 3: Cross multiply
   123,564x = 266,178 × 266,178
4. Step 4: Simplify right side
   123,564x = 70,850,727,684
5. Step 5: Solve for x
   x = 70,850,727,684/123,564
6. Step 6: Final answer
   x = 573,392.96