Finding the Third Proportional to 194,526 and 284,775.75

Step by Step Solution

1. Step 1: Write the proportion equation
   194,526 : 284,775.75 = 284,775.75 : x
2. Step 2: Convert to fraction form
   194,526/284,775.75 = 284,775.75/x
3. Step 3: Cross multiply
   194,526x = 284,775.75 × 284,775.75
4. Step 4: Simplify right side
   194,526x = 81,097,227,788.06
5. Step 5: Solve for x
   x = 81,097,227,788.06/194,526
6. Step 6: Final answer
   x = 416,896.60