Finding the Third Proportional to 174,738.09 and 382,185

Step by Step Solution

1. Step 1: Write the proportion equation
   174,738.09 : 382,185 = 382,185 : x
2. Step 2: Convert to fraction form
   174,738.09/382,185 = 382,185/x
3. Step 3: Cross multiply
   174,738.09x = 382,185 × 382,185
4. Step 4: Simplify right side
   174,738.09x = 146,065,374,225
5. Step 5: Solve for x
   x = 146,065,374,225/174,738.09
6. Step 6: Final answer
   x = 835,910.31