Finding the Third Proportional to 85,293 and 185,722.88

Step by Step Solution

1. Step 1: Write the proportion equation
   85,293 : 185,722.88 = 185,722.88 : x
2. Step 2: Convert to fraction form
   85,293/185,722.88 = 185,722.88/x
3. Step 3: Cross multiply
   85,293x = 185,722.88 × 185,722.88
4. Step 4: Simplify right side
   85,293x = 34,492,986,298.27
5. Step 5: Solve for x
   x = 34,492,986,298.27/85,293
6. Step 6: Final answer
   x = 404,405.83