Finding the Third Proportional to 194,209 and 262,392

Step by Step Solution

1. Step 1: Write the proportion equation
   194,209 : 262,392 = 262,392 : x
2. Step 2: Convert to fraction form
   194,209/262,392 = 262,392/x
3. Step 3: Cross multiply
   194,209x = 262,392 × 262,392
4. Step 4: Simplify right side
   194,209x = 68,849,561,664
5. Step 5: Solve for x
   x = 68,849,561,664/194,209
6. Step 6: Final answer
   x = 354,512.72