Finding the Third Proportional to 94,439 and 205,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,439 : 205,493.50 = 205,493.50 : x
2. Step 2: Convert to fraction form
   94,439/205,493.50 = 205,493.50/x
3. Step 3: Cross multiply
   94,439x = 205,493.50 × 205,493.50
4. Step 4: Simplify right side
   94,439x = 42,227,578,542.25
5. Step 5: Solve for x
   x = 42,227,578,542.25/94,439
6. Step 6: Final answer
   x = 447,141.31