Finding the Third Proportional to 102,860 and 154,290

Step by Step Solution

1. Step 1: Write the proportion equation
   102,860 : 154,290 = 154,290 : x
2. Step 2: Convert to fraction form
   102,860/154,290 = 154,290/x
3. Step 3: Cross multiply
   102,860x = 154,290 × 154,290
4. Step 4: Simplify right side
   102,860x = 23,805,404,100
5. Step 5: Solve for x
   x = 23,805,404,100/102,860
6. Step 6: Final answer
   x = 231,435