Finding the Third Proportional to 114,356 and 152,773

Step by Step Solution

1. Step 1: Write the proportion equation
   114,356 : 152,773 = 152,773 : x
2. Step 2: Convert to fraction form
   114,356/152,773 = 152,773/x
3. Step 3: Cross multiply
   114,356x = 152,773 × 152,773
4. Step 4: Simplify right side
   114,356x = 23,339,589,529
5. Step 5: Solve for x
   x = 23,339,589,529/114,356
6. Step 6: Final answer
   x = 204,095.89