Finding the Third Proportional to 84,123 and 176,034

Step by Step Solution

1. Step 1: Write the proportion equation
   84,123 : 176,034 = 176,034 : x
2. Step 2: Convert to fraction form
   84,123/176,034 = 176,034/x
3. Step 3: Cross multiply
   84,123x = 176,034 × 176,034
4. Step 4: Simplify right side
   84,123x = 30,987,969,156
5. Step 5: Solve for x
   x = 30,987,969,156/84,123
6. Step 6: Final answer
   x = 368,365.00