Finding the Third Proportional to 194,184 and 262,355

Step by Step Solution

1. Step 1: Write the proportion equation
   194,184 : 262,355 = 262,355 : x
2. Step 2: Convert to fraction form
   194,184/262,355 = 262,355/x
3. Step 3: Cross multiply
   194,184x = 262,355 × 262,355
4. Step 4: Simplify right side
   194,184x = 68,830,146,025
5. Step 5: Solve for x
   x = 68,830,146,025/194,184
6. Step 6: Final answer
   x = 354,458.38