Finding the Third Proportional to 91,738 and 187,364

Step by Step Solution

1. Step 1: Write the proportion equation
   91,738 : 187,364 = 187,364 : x
2. Step 2: Convert to fraction form
   91,738/187,364 = 187,364/x
3. Step 3: Cross multiply
   91,738x = 187,364 × 187,364
4. Step 4: Simplify right side
   91,738x = 35,105,268,496
5. Step 5: Solve for x
   x = 35,105,268,496/91,738
6. Step 6: Final answer
   x = 382,668.78