Finding the Third Proportional to 107,114 and 233,274

Step by Step Solution

1. Step 1: Write the proportion equation
   107,114 : 233,274 = 233,274 : x
2. Step 2: Convert to fraction form
   107,114/233,274 = 233,274/x
3. Step 3: Cross multiply
   107,114x = 233,274 × 233,274
4. Step 4: Simplify right side
   107,114x = 54,416,759,076
5. Step 5: Solve for x
   x = 54,416,759,076/107,114
6. Step 6: Final answer
   x = 508,026.58