Finding the Third Proportional to 174,738 and 382,189.88

Step by Step Solution

1. Step 1: Write the proportion equation
   174,738 : 382,189.88 = 382,189.88 : x
2. Step 2: Convert to fraction form
   174,738/382,189.88 = 382,189.88/x
3. Step 3: Cross multiply
   174,738x = 382,189.88 × 382,189.88
4. Step 4: Simplify right side
   174,738x = 146,069,100,552.52
5. Step 5: Solve for x
   x = 146,069,100,552.52/174,738
6. Step 6: Final answer
   x = 835,932.08