Finding the Third Proportional to 94,628 and 206,056

Step by Step Solution

1. Step 1: Write the proportion equation
   94,628 : 206,056 = 206,056 : x
2. Step 2: Convert to fraction form
   94,628/206,056 = 206,056/x
3. Step 3: Cross multiply
   94,628x = 206,056 × 206,056
4. Step 4: Simplify right side
   94,628x = 42,459,075,136
5. Step 5: Solve for x
   x = 42,459,075,136/94,628
6. Step 6: Final answer
   x = 448,694.63