Finding the Third Proportional to 290,821.50 and 434,495.81

Step by Step Solution

1. Step 1: Write the proportion equation
   290,821.50 : 434,495.81 = 434,495.81 : x
2. Step 2: Convert to fraction form
   290,821.50/434,495.81 = 434,495.81/x
3. Step 3: Cross multiply
   290,821.50x = 434,495.81 × 434,495.81
4. Step 4: Simplify right side
   290,821.50x = 188,786,611,080.04
5. Step 5: Solve for x
   x = 188,786,611,080.04/290,821.50
6. Step 6: Final answer
   x = 649,149.43