Finding the Third Proportional to 113,566 and 161,898

Step by Step Solution

1. Step 1: Write the proportion equation
   113,566 : 161,898 = 161,898 : x
2. Step 2: Convert to fraction form
   113,566/161,898 = 161,898/x
3. Step 3: Cross multiply
   113,566x = 161,898 × 161,898
4. Step 4: Simplify right side
   113,566x = 26,210,962,404
5. Step 5: Solve for x
   x = 26,210,962,404/113,566
6. Step 6: Final answer
   x = 230,799.38