Finding the Third Proportional to 76,900 and 108,243

Step by Step Solution

1. Step 1: Write the proportion equation
   76,900 : 108,243 = 108,243 : x
2. Step 2: Convert to fraction form
   76,900/108,243 = 108,243/x
3. Step 3: Cross multiply
   76,900x = 108,243 × 108,243
4. Step 4: Simplify right side
   76,900x = 11,716,547,049
5. Step 5: Solve for x
   x = 11,716,547,049/76,900
6. Step 6: Final answer
   x = 152,360.82