Finding the Third Proportional to 80,234 and 174,076

Step by Step Solution

1. Step 1: Write the proportion equation
   80,234 : 174,076 = 174,076 : x
2. Step 2: Convert to fraction form
   80,234/174,076 = 174,076/x
3. Step 3: Cross multiply
   80,234x = 174,076 × 174,076
4. Step 4: Simplify right side
   80,234x = 30,302,453,776
5. Step 5: Solve for x
   x = 30,302,453,776/80,234
6. Step 6: Final answer
   x = 377,675.97