Finding the Third Proportional to 174,018.75 and 379,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,018.75 : 379,996.50 = 379,996.50 : x
2. Step 2: Convert to fraction form
   174,018.75/379,996.50 = 379,996.50/x
3. Step 3: Cross multiply
   174,018.75x = 379,996.50 × 379,996.50
4. Step 4: Simplify right side
   174,018.75x = 144,397,340,012.25
5. Step 5: Solve for x
   x = 144,397,340,012.25/174,018.75
6. Step 6: Final answer
   x = 829,780.35