Finding the Third Proportional to 152,419 and 205,606

Step by Step Solution

1. Step 1: Write the proportion equation
   152,419 : 205,606 = 205,606 : x
2. Step 2: Convert to fraction form
   152,419/205,606 = 205,606/x
3. Step 3: Cross multiply
   152,419x = 205,606 × 205,606
4. Step 4: Simplify right side
   152,419x = 42,273,827,236
5. Step 5: Solve for x
   x = 42,273,827,236/152,419
6. Step 6: Final answer
   x = 277,352.74