Finding the Third Proportional to 57,946 and 120,333

Step by Step Solution

1. Step 1: Write the proportion equation
   57,946 : 120,333 = 120,333 : x
2. Step 2: Convert to fraction form
   57,946/120,333 = 120,333/x
3. Step 3: Cross multiply
   57,946x = 120,333 × 120,333
4. Step 4: Simplify right side
   57,946x = 14,480,030,889
5. Step 5: Solve for x
   x = 14,480,030,889/57,946
6. Step 6: Final answer
   x = 249,888.36