Finding the Third Proportional to 194,895 and 291,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,895 : 291,559.50 = 291,559.50 : x
2. Step 2: Convert to fraction form
   194,895/291,559.50 = 291,559.50/x
3. Step 3: Cross multiply
   194,895x = 291,559.50 × 291,559.50
4. Step 4: Simplify right side
   194,895x = 85,006,942,040.25
5. Step 5: Solve for x
   x = 85,006,942,040.25/194,895
6. Step 6: Final answer
   x = 436,167.90