Finding the Third Proportional to 174,627 and 377,076

Step by Step Solution

1. Step 1: Write the proportion equation
   174,627 : 377,076 = 377,076 : x
2. Step 2: Convert to fraction form
   174,627/377,076 = 377,076/x
3. Step 3: Cross multiply
   174,627x = 377,076 × 377,076
4. Step 4: Simplify right side
   174,627x = 142,186,309,776
5. Step 5: Solve for x
   x = 142,186,309,776/174,627
6. Step 6: Final answer
   x = 814,228.67