Finding the Third Proportional to 82,362 and 123,174

Step by Step Solution

1. Step 1: Write the proportion equation
   82,362 : 123,174 = 123,174 : x
2. Step 2: Convert to fraction form
   82,362/123,174 = 123,174/x
3. Step 3: Cross multiply
   82,362x = 123,174 × 123,174
4. Step 4: Simplify right side
   82,362x = 15,171,834,276
5. Step 5: Solve for x
   x = 15,171,834,276/82,362
6. Step 6: Final answer
   x = 184,209.15