Finding the Third Proportional to 91,208 and 205,840

Step by Step Solution

1. Step 1: Write the proportion equation
   91,208 : 205,840 = 205,840 : x
2. Step 2: Convert to fraction form
   91,208/205,840 = 205,840/x
3. Step 3: Cross multiply
   91,208x = 205,840 × 205,840
4. Step 4: Simplify right side
   91,208x = 42,370,105,600
5. Step 5: Solve for x
   x = 42,370,105,600/91,208
6. Step 6: Final answer
   x = 464,543.74