Finding the Third Proportional to 82,274 and 123,194

Step by Step Solution

1. Step 1: Write the proportion equation
   82,274 : 123,194 = 123,194 : x
2. Step 2: Convert to fraction form
   82,274/123,194 = 123,194/x
3. Step 3: Cross multiply
   82,274x = 123,194 × 123,194
4. Step 4: Simplify right side
   82,274x = 15,176,761,636
5. Step 5: Solve for x
   x = 15,176,761,636/82,274
6. Step 6: Final answer
   x = 184,466.07