Finding the Third Proportional to 56,340 and 114,238

Step by Step Solution

1. Step 1: Write the proportion equation
   56,340 : 114,238 = 114,238 : x
2. Step 2: Convert to fraction form
   56,340/114,238 = 114,238/x
3. Step 3: Cross multiply
   56,340x = 114,238 × 114,238
4. Step 4: Simplify right side
   56,340x = 13,050,320,644
5. Step 5: Solve for x
   x = 13,050,320,644/56,340
6. Step 6: Final answer
   x = 231,635.08