Finding the Third Proportional to 85,212 and 185,803.88

Step by Step Solution

1. Step 1: Write the proportion equation
   85,212 : 185,803.88 = 185,803.88 : x
2. Step 2: Convert to fraction form
   85,212/185,803.88 = 185,803.88/x
3. Step 3: Cross multiply
   85,212x = 185,803.88 × 185,803.88
4. Step 4: Simplify right side
   85,212x = 34,523,079,965.02
5. Step 5: Solve for x
   x = 34,523,079,965.02/85,212
6. Step 6: Final answer
   x = 405,143.41