Finding the Third Proportional to 194,185.50 and 262,356

Step by Step Solution

1. Step 1: Write the proportion equation
   194,185.50 : 262,356 = 262,356 : x
2. Step 2: Convert to fraction form
   194,185.50/262,356 = 262,356/x
3. Step 3: Cross multiply
   194,185.50x = 262,356 × 262,356
4. Step 4: Simplify right side
   194,185.50x = 68,830,670,736
5. Step 5: Solve for x
   x = 68,830,670,736/194,185.50
6. Step 6: Final answer
   x = 354,458.34