Finding the Third Proportional to 113,461 and 188,443

Step by Step Solution

1. Step 1: Write the proportion equation
   113,461 : 188,443 = 188,443 : x
2. Step 2: Convert to fraction form
   113,461/188,443 = 188,443/x
3. Step 3: Cross multiply
   113,461x = 188,443 × 188,443
4. Step 4: Simplify right side
   113,461x = 35,510,764,249
5. Step 5: Solve for x
   x = 35,510,764,249/113,461
6. Step 6: Final answer
   x = 312,977.71