Finding the Third Proportional to 191,738 and 413,526

Step by Step Solution

1. Step 1: Write the proportion equation
   191,738 : 413,526 = 413,526 : x
2. Step 2: Convert to fraction form
   191,738/413,526 = 413,526/x
3. Step 3: Cross multiply
   191,738x = 413,526 × 413,526
4. Step 4: Simplify right side
   191,738x = 171,003,752,676
5. Step 5: Solve for x
   x = 171,003,752,676/191,738
6. Step 6: Final answer
   x = 891,861.56