Finding the Third Proportional to 82,218 and 123,102

Step by Step Solution

1. Step 1: Write the proportion equation
   82,218 : 123,102 = 123,102 : x
2. Step 2: Convert to fraction form
   82,218/123,102 = 123,102/x
3. Step 3: Cross multiply
   82,218x = 123,102 × 123,102
4. Step 4: Simplify right side
   82,218x = 15,154,102,404
5. Step 5: Solve for x
   x = 15,154,102,404/82,218
6. Step 6: Final answer
   x = 184,316.12