Finding the Third Proportional to 196,878 and 429,846

Step by Step Solution

1. Step 1: Write the proportion equation
   196,878 : 429,846 = 429,846 : x
2. Step 2: Convert to fraction form
   196,878/429,846 = 429,846/x
3. Step 3: Cross multiply
   196,878x = 429,846 × 429,846
4. Step 4: Simplify right side
   196,878x = 184,767,583,716
5. Step 5: Solve for x
   x = 184,767,583,716/196,878
6. Step 6: Final answer
   x = 938,487.71