Finding the Third Proportional to 57,780 and 120,141

Step by Step Solution

1. Step 1: Write the proportion equation
   57,780 : 120,141 = 120,141 : x
2. Step 2: Convert to fraction form
   57,780/120,141 = 120,141/x
3. Step 3: Cross multiply
   57,780x = 120,141 × 120,141
4. Step 4: Simplify right side
   57,780x = 14,433,859,881
5. Step 5: Solve for x
   x = 14,433,859,881/57,780
6. Step 6: Final answer
   x = 249,807.20