Finding the Third Proportional to 76,902 and 108,245

Step by Step Solution

1. Step 1: Write the proportion equation
   76,902 : 108,245 = 108,245 : x
2. Step 2: Convert to fraction form
   76,902/108,245 = 108,245/x
3. Step 3: Cross multiply
   76,902x = 108,245 × 108,245
4. Step 4: Simplify right side
   76,902x = 11,716,980,025
5. Step 5: Solve for x
   x = 11,716,980,025/76,902
6. Step 6: Final answer
   x = 152,362.49