Finding the Third Proportional to 284,496 and 420,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   284,496 : 420,364.50 = 420,364.50 : x
2. Step 2: Convert to fraction form
   284,496/420,364.50 = 420,364.50/x
3. Step 3: Cross multiply
   284,496x = 420,364.50 × 420,364.50
4. Step 4: Simplify right side
   284,496x = 176,706,312,860.25
5. Step 5: Solve for x
   x = 176,706,312,860.25/284,496
6. Step 6: Final answer
   x = 621,120.55