Finding the Third Proportional to 196,944 and 429,534

Step by Step Solution

1. Step 1: Write the proportion equation
   196,944 : 429,534 = 429,534 : x
2. Step 2: Convert to fraction form
   196,944/429,534 = 429,534/x
3. Step 3: Cross multiply
   196,944x = 429,534 × 429,534
4. Step 4: Simplify right side
   196,944x = 184,499,457,156
5. Step 5: Solve for x
   x = 184,499,457,156/196,944
6. Step 6: Final answer
   x = 936,811.77