Finding the Third Proportional to 78,108 and 107,406

Step by Step Solution

1. Step 1: Write the proportion equation
   78,108 : 107,406 = 107,406 : x
2. Step 2: Convert to fraction form
   78,108/107,406 = 107,406/x
3. Step 3: Cross multiply
   78,108x = 107,406 × 107,406
4. Step 4: Simplify right side
   78,108x = 11,536,048,836
5. Step 5: Solve for x
   x = 11,536,048,836/78,108
6. Step 6: Final answer
   x = 147,693.56