Finding the Third Proportional to 123,314 and 266,052

Step by Step Solution

1. Step 1: Write the proportion equation
   123,314 : 266,052 = 266,052 : x
2. Step 2: Convert to fraction form
   123,314/266,052 = 266,052/x
3. Step 3: Cross multiply
   123,314x = 266,052 × 266,052
4. Step 4: Simplify right side
   123,314x = 70,783,666,704
5. Step 5: Solve for x
   x = 70,783,666,704/123,314
6. Step 6: Final answer
   x = 574,011.60