Finding the Third Proportional to 113,526 and 164,942

Step by Step Solution

1. Step 1: Write the proportion equation
   113,526 : 164,942 = 164,942 : x
2. Step 2: Convert to fraction form
   113,526/164,942 = 164,942/x
3. Step 3: Cross multiply
   113,526x = 164,942 × 164,942
4. Step 4: Simplify right side
   113,526x = 27,205,863,364
5. Step 5: Solve for x
   x = 27,205,863,364/113,526
6. Step 6: Final answer
   x = 239,644.34