Finding the Third Proportional to 174,874.50 and 377,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,874.50 : 377,662.50 = 377,662.50 : x
2. Step 2: Convert to fraction form
   174,874.50/377,662.50 = 377,662.50/x
3. Step 3: Cross multiply
   174,874.50x = 377,662.50 × 377,662.50
4. Step 4: Simplify right side
   174,874.50x = 142,628,963,906.25
5. Step 5: Solve for x
   x = 142,628,963,906.25/174,874.50
6. Step 6: Final answer
   x = 815,607.56