Finding the Third Proportional to 53,768 and 85,406

Step by Step Solution

1. Step 1: Write the proportion equation
   53,768 : 85,406 = 85,406 : x
2. Step 2: Convert to fraction form
   53,768/85,406 = 85,406/x
3. Step 3: Cross multiply
   53,768x = 85,406 × 85,406
4. Step 4: Simplify right side
   53,768x = 7,294,184,836
5. Step 5: Solve for x
   x = 7,294,184,836/53,768
6. Step 6: Final answer
   x = 135,660.33