Finding the Third Proportional to 102,940 and 154,410

Step by Step Solution

1. Step 1: Write the proportion equation
   102,940 : 154,410 = 154,410 : x
2. Step 2: Convert to fraction form
   102,940/154,410 = 154,410/x
3. Step 3: Cross multiply
   102,940x = 154,410 × 154,410
4. Step 4: Simplify right side
   102,940x = 23,842,448,100
5. Step 5: Solve for x
   x = 23,842,448,100/102,940
6. Step 6: Final answer
   x = 231,615