Finding the Third Proportional to 114,142 and 177,429

Step by Step Solution

1. Step 1: Write the proportion equation
   114,142 : 177,429 = 177,429 : x
2. Step 2: Convert to fraction form
   114,142/177,429 = 177,429/x
3. Step 3: Cross multiply
   114,142x = 177,429 × 177,429
4. Step 4: Simplify right side
   114,142x = 31,481,050,041
5. Step 5: Solve for x
   x = 31,481,050,041/114,142
6. Step 6: Final answer
   x = 275,806.01