Finding the Third Proportional to 270,454.50 and 420,426

Step by Step Solution

1. Step 1: Write the proportion equation
   270,454.50 : 420,426 = 420,426 : x
2. Step 2: Convert to fraction form
   270,454.50/420,426 = 420,426/x
3. Step 3: Cross multiply
   270,454.50x = 420,426 × 420,426
4. Step 4: Simplify right side
   270,454.50x = 176,758,021,476
5. Step 5: Solve for x
   x = 176,758,021,476/270,454.50
6. Step 6: Final answer
   x = 653,559.18