Finding the Third Proportional to 113,969 and 152,850

Step by Step Solution

1. Step 1: Write the proportion equation
   113,969 : 152,850 = 152,850 : x
2. Step 2: Convert to fraction form
   113,969/152,850 = 152,850/x
3. Step 3: Cross multiply
   113,969x = 152,850 × 152,850
4. Step 4: Simplify right side
   113,969x = 23,363,122,500
5. Step 5: Solve for x
   x = 23,363,122,500/113,969
6. Step 6: Final answer
   x = 204,995.42