Finding the Third Proportional to 76,820 and 103,326

Step by Step Solution

1. Step 1: Write the proportion equation
   76,820 : 103,326 = 103,326 : x
2. Step 2: Convert to fraction form
   76,820/103,326 = 103,326/x
3. Step 3: Cross multiply
   76,820x = 103,326 × 103,326
4. Step 4: Simplify right side
   76,820x = 10,676,262,276
5. Step 5: Solve for x
   x = 10,676,262,276/76,820
6. Step 6: Final answer
   x = 138,977.64