Finding the Third Proportional to 76,656 and 103,012

Step by Step Solution

1. Step 1: Write the proportion equation
   76,656 : 103,012 = 103,012 : x
2. Step 2: Convert to fraction form
   76,656/103,012 = 103,012/x
3. Step 3: Cross multiply
   76,656x = 103,012 × 103,012
4. Step 4: Simplify right side
   76,656x = 10,611,472,144
5. Step 5: Solve for x
   x = 10,611,472,144/76,656
6. Step 6: Final answer
   x = 138,429.77