Finding the Third Proportional to 74,912 and 164,890

Step by Step Solution

1. Step 1: Write the proportion equation
   74,912 : 164,890 = 164,890 : x
2. Step 2: Convert to fraction form
   74,912/164,890 = 164,890/x
3. Step 3: Cross multiply
   74,912x = 164,890 × 164,890
4. Step 4: Simplify right side
   74,912x = 27,188,712,100
5. Step 5: Solve for x
   x = 27,188,712,100/74,912
6. Step 6: Final answer
   x = 362,942.01