Finding the Third Proportional to 177,292 and 384,123

Step by Step Solution

1. Step 1: Write the proportion equation
   177,292 : 384,123 = 384,123 : x
2. Step 2: Convert to fraction form
   177,292/384,123 = 384,123/x
3. Step 3: Cross multiply
   177,292x = 384,123 × 384,123
4. Step 4: Simplify right side
   177,292x = 147,550,479,129
5. Step 5: Solve for x
   x = 147,550,479,129/177,292
6. Step 6: Final answer
   x = 832,245.56