Finding the Third Proportional to 113,908 and 266,140

Step by Step Solution

1. Step 1: Write the proportion equation
   113,908 : 266,140 = 266,140 : x
2. Step 2: Convert to fraction form
   113,908/266,140 = 266,140/x
3. Step 3: Cross multiply
   113,908x = 266,140 × 266,140
4. Step 4: Simplify right side
   113,908x = 70,830,499,600
5. Step 5: Solve for x
   x = 70,830,499,600/113,908
6. Step 6: Final answer
   x = 621,821.99