Finding the Third Proportional to 174,769 and 382,245

Step by Step Solution

1. Step 1: Write the proportion equation
   174,769 : 382,245 = 382,245 : x
2. Step 2: Convert to fraction form
   174,769/382,245 = 382,245/x
3. Step 3: Cross multiply
   174,769x = 382,245 × 382,245
4. Step 4: Simplify right side
   174,769x = 146,111,240,025
5. Step 5: Solve for x
   x = 146,111,240,025/174,769
6. Step 6: Final answer
   x = 836,024.92