Finding the Third Proportional to 287,091 and 410,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   287,091 : 410,953.50 = 410,953.50 : x
2. Step 2: Convert to fraction form
   287,091/410,953.50 = 410,953.50/x
3. Step 3: Cross multiply
   287,091x = 410,953.50 × 410,953.50
4. Step 4: Simplify right side
   287,091x = 168,882,779,162.25
5. Step 5: Solve for x
   x = 168,882,779,162.25/287,091
6. Step 6: Final answer
   x = 588,255.22