Finding the Third Proportional to 233,105 and 353,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,105 : 353,953.50 = 353,953.50 : x
2. Step 2: Convert to fraction form
   233,105/353,953.50 = 353,953.50/x
3. Step 3: Cross multiply
   233,105x = 353,953.50 × 353,953.50
4. Step 4: Simplify right side
   233,105x = 125,283,080,162.25
5. Step 5: Solve for x
   x = 125,283,080,162.25/233,105
6. Step 6: Final answer
   x = 537,453.42