Finding the Third Proportional to 106,434 and 233,280

Step by Step Solution

1. Step 1: Write the proportion equation
   106,434 : 233,280 = 233,280 : x
2. Step 2: Convert to fraction form
   106,434/233,280 = 233,280/x
3. Step 3: Cross multiply
   106,434x = 233,280 × 233,280
4. Step 4: Simplify right side
   106,434x = 54,419,558,400
5. Step 5: Solve for x
   x = 54,419,558,400/106,434
6. Step 6: Final answer
   x = 511,298.63