Finding the Third Proportional to 123,194 and 266,084

Step by Step Solution

1. Step 1: Write the proportion equation
   123,194 : 266,084 = 266,084 : x
2. Step 2: Convert to fraction form
   123,194/266,084 = 266,084/x
3. Step 3: Cross multiply
   123,194x = 266,084 × 266,084
4. Step 4: Simplify right side
   123,194x = 70,800,695,056
5. Step 5: Solve for x
   x = 70,800,695,056/123,194
6. Step 6: Final answer
   x = 574,708.96