Finding the Third Proportional to 123,226 and 185,716

Step by Step Solution

1. Step 1: Write the proportion equation
   123,226 : 185,716 = 185,716 : x
2. Step 2: Convert to fraction form
   123,226/185,716 = 185,716/x
3. Step 3: Cross multiply
   123,226x = 185,716 × 185,716
4. Step 4: Simplify right side
   123,226x = 34,490,432,656
5. Step 5: Solve for x
   x = 34,490,432,656/123,226
6. Step 6: Final answer
   x = 279,895.74