Finding the Third Proportional to 76,611 and 164,892

Step by Step Solution

1. Step 1: Write the proportion equation
   76,611 : 164,892 = 164,892 : x
2. Step 2: Convert to fraction form
   76,611/164,892 = 164,892/x
3. Step 3: Cross multiply
   76,611x = 164,892 × 164,892
4. Step 4: Simplify right side
   76,611x = 27,189,371,664
5. Step 5: Solve for x
   x = 27,189,371,664/76,611
6. Step 6: Final answer
   x = 354,901.67