Finding the Third Proportional to 113,457 and 188,437

Step by Step Solution

1. Step 1: Write the proportion equation
   113,457 : 188,437 = 188,437 : x
2. Step 2: Convert to fraction form
   113,457/188,437 = 188,437/x
3. Step 3: Cross multiply
   113,457x = 188,437 × 188,437
4. Step 4: Simplify right side
   113,457x = 35,508,502,969
5. Step 5: Solve for x
   x = 35,508,502,969/113,457
6. Step 6: Final answer
   x = 312,968.82