Finding the Third Proportional to 300,156 and 422,154

Step by Step Solution

1. Step 1: Write the proportion equation
   300,156 : 422,154 = 422,154 : x
2. Step 2: Convert to fraction form
   300,156/422,154 = 422,154/x
3. Step 3: Cross multiply
   300,156x = 422,154 × 422,154
4. Step 4: Simplify right side
   300,156x = 178,213,999,716
5. Step 5: Solve for x
   x = 178,213,999,716/300,156
6. Step 6: Final answer
   x = 593,737.92