Finding the Third Proportional to 191,377.69 and 412,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,377.69 : 412,006.50 = 412,006.50 : x
2. Step 2: Convert to fraction form
   191,377.69/412,006.50 = 412,006.50/x
3. Step 3: Cross multiply
   191,377.69x = 412,006.50 × 412,006.50
4. Step 4: Simplify right side
   191,377.69x = 169,749,356,042.25
5. Step 5: Solve for x
   x = 169,749,356,042.25/191,377.69
6. Step 6: Final answer
   x = 886,986.14