Finding the Third Proportional to 102,870 and 154,548

Step by Step Solution

1. Step 1: Write the proportion equation
   102,870 : 154,548 = 154,548 : x
2. Step 2: Convert to fraction form
   102,870/154,548 = 154,548/x
3. Step 3: Cross multiply
   102,870x = 154,548 × 154,548
4. Step 4: Simplify right side
   102,870x = 23,885,084,304
5. Step 5: Solve for x
   x = 23,885,084,304/102,870
6. Step 6: Final answer
   x = 232,187.07