Finding the Third Proportional to 70,340 and 166,046

Step by Step Solution

1. Step 1: Write the proportion equation
   70,340 : 166,046 = 166,046 : x
2. Step 2: Convert to fraction form
   70,340/166,046 = 166,046/x
3. Step 3: Cross multiply
   70,340x = 166,046 × 166,046
4. Step 4: Simplify right side
   70,340x = 27,571,274,116
5. Step 5: Solve for x
   x = 27,571,274,116/70,340
6. Step 6: Final answer
   x = 391,971.48