Finding the Third Proportional to 381,258 and 828,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,258 : 828,913.50 = 828,913.50 : x
2. Step 2: Convert to fraction form
   381,258/828,913.50 = 828,913.50/x
3. Step 3: Cross multiply
   381,258x = 828,913.50 × 828,913.50
4. Step 4: Simplify right side
   381,258x = 687,097,590,482.25
5. Step 5: Solve for x
   x = 687,097,590,482.25/381,258
6. Step 6: Final answer
   x = 1,802,185.37