Finding the Third Proportional to 114,129 and 177,423.75

Step by Step Solution

1. Step 1: Write the proportion equation
   114,129 : 177,423.75 = 177,423.75 : x
2. Step 2: Convert to fraction form
   114,129/177,423.75 = 177,423.75/x
3. Step 3: Cross multiply
   114,129x = 177,423.75 × 177,423.75
4. Step 4: Simplify right side
   114,129x = 31,479,187,064.06
5. Step 5: Solve for x
   x = 31,479,187,064.06/114,129
6. Step 6: Final answer
   x = 275,821.11