Finding the Third Proportional to 191,208 and 420,142

Step by Step Solution

1. Step 1: Write the proportion equation
   191,208 : 420,142 = 420,142 : x
2. Step 2: Convert to fraction form
   191,208/420,142 = 420,142/x
3. Step 3: Cross multiply
   191,208x = 420,142 × 420,142
4. Step 4: Simplify right side
   191,208x = 176,519,300,164
5. Step 5: Solve for x
   x = 176,519,300,164/191,208
6. Step 6: Final answer
   x = 923,179.47