Finding the Third Proportional to 56,308 and 120,140

Step by Step Solution

1. Step 1: Write the proportion equation
   56,308 : 120,140 = 120,140 : x
2. Step 2: Convert to fraction form
   56,308/120,140 = 120,140/x
3. Step 3: Cross multiply
   56,308x = 120,140 × 120,140
4. Step 4: Simplify right side
   56,308x = 14,433,619,600
5. Step 5: Solve for x
   x = 14,433,619,600/56,308
6. Step 6: Final answer
   x = 256,333.37