Finding the Third Proportional to 174,013.50 and 379,986

Step by Step Solution

1. Step 1: Write the proportion equation
   174,013.50 : 379,986 = 379,986 : x
2. Step 2: Convert to fraction form
   174,013.50/379,986 = 379,986/x
3. Step 3: Cross multiply
   174,013.50x = 379,986 × 379,986
4. Step 4: Simplify right side
   174,013.50x = 144,389,360,196
5. Step 5: Solve for x
   x = 144,389,360,196/174,013.50
6. Step 6: Final answer
   x = 829,759.53