Finding the Third Proportional to 194,922 and 291,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,922 : 291,589.50 = 291,589.50 : x
2. Step 2: Convert to fraction form
   194,922/291,589.50 = 291,589.50/x
3. Step 3: Cross multiply
   194,922x = 291,589.50 × 291,589.50
4. Step 4: Simplify right side
   194,922x = 85,024,436,510.25
5. Step 5: Solve for x
   x = 85,024,436,510.25/194,922
6. Step 6: Final answer
   x = 436,197.23