Finding the Third Proportional to 195,642 and 262,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,642 : 262,054.50 = 262,054.50 : x
2. Step 2: Convert to fraction form
   195,642/262,054.50 = 262,054.50/x
3. Step 3: Cross multiply
   195,642x = 262,054.50 × 262,054.50
4. Step 4: Simplify right side
   195,642x = 68,672,560,970.25
5. Step 5: Solve for x
   x = 68,672,560,970.25/195,642
6. Step 6: Final answer
   x = 351,011.34