Finding the Third Proportional to 91,961 and 205,450.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,961 : 205,450.50 = 205,450.50 : x
2. Step 2: Convert to fraction form
   91,961/205,450.50 = 205,450.50/x
3. Step 3: Cross multiply
   91,961x = 205,450.50 × 205,450.50
4. Step 4: Simplify right side
   91,961x = 42,209,907,950.25
5. Step 5: Solve for x
   x = 42,209,907,950.25/91,961
6. Step 6: Final answer
   x = 458,997.92