Finding the Third Proportional to 123,226 and 185,715

Step by Step Solution

1. Step 1: Write the proportion equation
   123,226 : 185,715 = 185,715 : x
2. Step 2: Convert to fraction form
   123,226/185,715 = 185,715/x
3. Step 3: Cross multiply
   123,226x = 185,715 × 185,715
4. Step 4: Simplify right side
   123,226x = 34,490,061,225
5. Step 5: Solve for x
   x = 34,490,061,225/123,226
6. Step 6: Final answer
   x = 279,892.73