Finding the Third Proportional to 101,914 and 154,410

Step by Step Solution

1. Step 1: Write the proportion equation
   101,914 : 154,410 = 154,410 : x
2. Step 2: Convert to fraction form
   101,914/154,410 = 154,410/x
3. Step 3: Cross multiply
   101,914x = 154,410 × 154,410
4. Step 4: Simplify right side
   101,914x = 23,842,448,100
5. Step 5: Solve for x
   x = 23,842,448,100/101,914
6. Step 6: Final answer
   x = 233,946.74