Finding the Third Proportional to 85,063 and 185,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,063 : 185,690.50 = 185,690.50 : x
2. Step 2: Convert to fraction form
   85,063/185,690.50 = 185,690.50/x
3. Step 3: Cross multiply
   85,063x = 185,690.50 × 185,690.50
4. Step 4: Simplify right side
   85,063x = 34,480,961,790.25
5. Step 5: Solve for x
   x = 34,480,961,790.25/85,063
6. Step 6: Final answer
   x = 405,357.93