Finding the Third Proportional to 152,426 and 205,615

Step by Step Solution

1. Step 1: Write the proportion equation
   152,426 : 205,615 = 205,615 : x
2. Step 2: Convert to fraction form
   152,426/205,615 = 205,615/x
3. Step 3: Cross multiply
   152,426x = 205,615 × 205,615
4. Step 4: Simplify right side
   152,426x = 42,277,528,225
5. Step 5: Solve for x
   x = 42,277,528,225/152,426
6. Step 6: Final answer
   x = 277,364.28