Finding the Third Proportional to 101,884 and 152,826

Step by Step Solution

1. Step 1: Write the proportion equation
   101,884 : 152,826 = 152,826 : x
2. Step 2: Convert to fraction form
   101,884/152,826 = 152,826/x
3. Step 3: Cross multiply
   101,884x = 152,826 × 152,826
4. Step 4: Simplify right side
   101,884x = 23,355,786,276
5. Step 5: Solve for x
   x = 23,355,786,276/101,884
6. Step 6: Final answer
   x = 229,239