Finding the Third Proportional to 191,358 and 419,076

Step by Step Solution

1. Step 1: Write the proportion equation
   191,358 : 419,076 = 419,076 : x
2. Step 2: Convert to fraction form
   191,358/419,076 = 419,076/x
3. Step 3: Cross multiply
   191,358x = 419,076 × 419,076
4. Step 4: Simplify right side
   191,358x = 175,624,693,776
5. Step 5: Solve for x
   x = 175,624,693,776/191,358
6. Step 6: Final answer
   x = 917,780.78