Finding the Third Proportional to 381,024 and 852,261.75

Step by Step Solution

1. Step 1: Write the proportion equation
   381,024 : 852,261.75 = 852,261.75 : x
2. Step 2: Convert to fraction form
   381,024/852,261.75 = 852,261.75/x
3. Step 3: Cross multiply
   381,024x = 852,261.75 × 852,261.75
4. Step 4: Simplify right side
   381,024x = 726,350,090,513.06
5. Step 5: Solve for x
   x = 726,350,090,513.06/381,024
6. Step 6: Final answer
   x = 1,906,310.60