Finding the Third Proportional to 57,194 and 82,510

Step by Step Solution

1. Step 1: Write the proportion equation
   57,194 : 82,510 = 82,510 : x
2. Step 2: Convert to fraction form
   57,194/82,510 = 82,510/x
3. Step 3: Cross multiply
   57,194x = 82,510 × 82,510
4. Step 4: Simplify right side
   57,194x = 6,807,900,100
5. Step 5: Solve for x
   x = 6,807,900,100/57,194
6. Step 6: Final answer
   x = 119,031.72