Finding the Third Proportional to 114,354 and 152,770

Step by Step Solution

1. Step 1: Write the proportion equation
   114,354 : 152,770 = 152,770 : x
2. Step 2: Convert to fraction form
   114,354/152,770 = 152,770/x
3. Step 3: Cross multiply
   114,354x = 152,770 × 152,770
4. Step 4: Simplify right side
   114,354x = 23,338,672,900
5. Step 5: Solve for x
   x = 23,338,672,900/114,354
6. Step 6: Final answer
   x = 204,091.44