Finding the Third Proportional to 91,738 and 191,798

Step by Step Solution

1. Step 1: Write the proportion equation
   91,738 : 191,798 = 191,798 : x
2. Step 2: Convert to fraction form
   91,738/191,798 = 191,798/x
3. Step 3: Cross multiply
   91,738x = 191,798 × 191,798
4. Step 4: Simplify right side
   91,738x = 36,786,472,804
5. Step 5: Solve for x
   x = 36,786,472,804/91,738
6. Step 6: Final answer
   x = 400,994.93