Finding the Third Proportional to 174,713 and 382,140

Step by Step Solution

1. Step 1: Write the proportion equation
   174,713 : 382,140 = 382,140 : x
2. Step 2: Convert to fraction form
   174,713/382,140 = 382,140/x
3. Step 3: Cross multiply
   174,713x = 382,140 × 382,140
4. Step 4: Simplify right side
   174,713x = 146,030,979,600
5. Step 5: Solve for x
   x = 146,030,979,600/174,713
6. Step 6: Final answer
   x = 835,833.51