Finding the Third Proportional to 194,202 and 262,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,202 : 262,381.50 = 262,381.50 : x
2. Step 2: Convert to fraction form
   194,202/262,381.50 = 262,381.50/x
3. Step 3: Cross multiply
   194,202x = 262,381.50 × 262,381.50
4. Step 4: Simplify right side
   194,202x = 68,844,051,542.25
5. Step 5: Solve for x
   x = 68,844,051,542.25/194,202
6. Step 6: Final answer
   x = 354,497.13