Finding the Third Proportional to 185,935.50 and 382,878

Step by Step Solution

1. Step 1: Write the proportion equation
   185,935.50 : 382,878 = 382,878 : x
2. Step 2: Convert to fraction form
   185,935.50/382,878 = 382,878/x
3. Step 3: Cross multiply
   185,935.50x = 382,878 × 382,878
4. Step 4: Simplify right side
   185,935.50x = 146,595,562,884
5. Step 5: Solve for x
   x = 146,595,562,884/185,935.50
6. Step 6: Final answer
   x = 788,421.59