Finding the Third Proportional to 385,179 and 578,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,179 : 578,932.50 = 578,932.50 : x
2. Step 2: Convert to fraction form
   385,179/578,932.50 = 578,932.50/x
3. Step 3: Cross multiply
   385,179x = 578,932.50 × 578,932.50
4. Step 4: Simplify right side
   385,179x = 335,162,839,556.25
5. Step 5: Solve for x
   x = 335,162,839,556.25/385,179
6. Step 6: Final answer
   x = 870,148.27