Finding the Third Proportional to 174,665 and 376,090

Step by Step Solution

1. Step 1: Write the proportion equation
   174,665 : 376,090 = 376,090 : x
2. Step 2: Convert to fraction form
   174,665/376,090 = 376,090/x
3. Step 3: Cross multiply
   174,665x = 376,090 × 376,090
4. Step 4: Simplify right side
   174,665x = 141,443,688,100
5. Step 5: Solve for x
   x = 141,443,688,100/174,665
6. Step 6: Final answer
   x = 809,799.83