Finding the Third Proportional to 72,094 and 165,940

Step by Step Solution

1. Step 1: Write the proportion equation
   72,094 : 165,940 = 165,940 : x
2. Step 2: Convert to fraction form
   72,094/165,940 = 165,940/x
3. Step 3: Cross multiply
   72,094x = 165,940 × 165,940
4. Step 4: Simplify right side
   72,094x = 27,536,083,600
5. Step 5: Solve for x
   x = 27,536,083,600/72,094
6. Step 6: Final answer
   x = 381,946.95