Finding the Third Proportional to 189,155.50 and 415,166

Step by Step Solution

1. Step 1: Write the proportion equation
   189,155.50 : 415,166 = 415,166 : x
2. Step 2: Convert to fraction form
   189,155.50/415,166 = 415,166/x
3. Step 3: Cross multiply
   189,155.50x = 415,166 × 415,166
4. Step 4: Simplify right side
   189,155.50x = 172,362,807,556
5. Step 5: Solve for x
   x = 172,362,807,556/189,155.50
6. Step 6: Final answer
   x = 911,222.82