Finding the Third Proportional to 108,894 and 147,786

Step by Step Solution

1. Step 1: Write the proportion equation
   108,894 : 147,786 = 147,786 : x
2. Step 2: Convert to fraction form
   108,894/147,786 = 147,786/x
3. Step 3: Cross multiply
   108,894x = 147,786 × 147,786
4. Step 4: Simplify right side
   108,894x = 21,840,701,796
5. Step 5: Solve for x
   x = 21,840,701,796/108,894
6. Step 6: Final answer
   x = 200,568.46