Finding the Third Proportional to 83,450.25 and 185,558.63

Step by Step Solution

1. Step 1: Write the proportion equation
   83,450.25 : 185,558.63 = 185,558.63 : x
2. Step 2: Convert to fraction form
   83,450.25/185,558.63 = 185,558.63/x
3. Step 3: Cross multiply
   83,450.25x = 185,558.63 × 185,558.63
4. Step 4: Simplify right side
   83,450.25x = 34,432,003,311.89
5. Step 5: Solve for x
   x = 34,432,003,311.89/83,450.25
6. Step 6: Final answer
   x = 412,605.15