Finding the Third Proportional to 113,912 and 266,144

Step by Step Solution

1. Step 1: Write the proportion equation
   113,912 : 266,144 = 266,144 : x
2. Step 2: Convert to fraction form
   113,912/266,144 = 266,144/x
3. Step 3: Cross multiply
   113,912x = 266,144 × 266,144
4. Step 4: Simplify right side
   113,912x = 70,832,628,736
5. Step 5: Solve for x
   x = 70,832,628,736/113,912
6. Step 6: Final answer
   x = 621,818.85