Finding the Third Proportional to 78,336 and 165,606

Step by Step Solution

1. Step 1: Write the proportion equation
   78,336 : 165,606 = 165,606 : x
2. Step 2: Convert to fraction form
   78,336/165,606 = 165,606/x
3. Step 3: Cross multiply
   78,336x = 165,606 × 165,606
4. Step 4: Simplify right side
   78,336x = 27,425,347,236
5. Step 5: Solve for x
   x = 27,425,347,236/78,336
6. Step 6: Final answer
   x = 350,098.90