Finding the Third Proportional to 114,142.50 and 177,435

Step by Step Solution

1. Step 1: Write the proportion equation
   114,142.50 : 177,435 = 177,435 : x
2. Step 2: Convert to fraction form
   114,142.50/177,435 = 177,435/x
3. Step 3: Cross multiply
   114,142.50x = 177,435 × 177,435
4. Step 4: Simplify right side
   114,142.50x = 31,483,179,225
5. Step 5: Solve for x
   x = 31,483,179,225/114,142.50
6. Step 6: Final answer
   x = 275,823.46