Finding the Third Proportional to 177,302 and 384,142

Step by Step Solution

1. Step 1: Write the proportion equation
   177,302 : 384,142 = 384,142 : x
2. Step 2: Convert to fraction form
   177,302/384,142 = 384,142/x
3. Step 3: Cross multiply
   177,302x = 384,142 × 384,142
4. Step 4: Simplify right side
   177,302x = 147,565,076,164
5. Step 5: Solve for x
   x = 147,565,076,164/177,302
6. Step 6: Final answer
   x = 832,280.95