Finding the Third Proportional to 114,638.25 and 152,892

Step by Step Solution

1. Step 1: Write the proportion equation
   114,638.25 : 152,892 = 152,892 : x
2. Step 2: Convert to fraction form
   114,638.25/152,892 = 152,892/x
3. Step 3: Cross multiply
   114,638.25x = 152,892 × 152,892
4. Step 4: Simplify right side
   114,638.25x = 23,375,963,664
5. Step 5: Solve for x
   x = 23,375,963,664/114,638.25
6. Step 6: Final answer
   x = 203,910.68