Finding the Third Proportional to 268,510,585.50 and 401,112,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,510,585.50 : 401,112,217.50 = 401,112,217.50 : x
2. Step 2: Convert to fraction form
   268,510,585.50/401,112,217.50 = 401,112,217.50/x
3. Step 3: Cross multiply
   268,510,585.50x = 401,112,217.50 × 401,112,217.50
4. Step 4: Simplify right side
   268,510,585.50x = 160,891,011,027,767,296
5. Step 5: Solve for x
   x = 160,891,011,027,767,296/268,510,585.50
6. Step 6: Final answer
   x = 599,198,019.43