Finding the Third Proportional to 436.88 and 922.69

Step by Step Solution

1. Step 1: Write the proportion equation
   436.88 : 922.69 = 922.69 : x
2. Step 2: Convert to fraction form
   436.88/922.69 = 922.69/x
3. Step 3: Cross multiply
   436.88x = 922.69 × 922.69
4. Step 4: Simplify right side
   436.88x = 851,352.22
5. Step 5: Solve for x
   x = 851,352.22/436.88
6. Step 6: Final answer
   x = 1,948.73