Finding the Third Proportional to 189,154.50 and 415,164

Step by Step Solution

1. Step 1: Write the proportion equation
   189,154.50 : 415,164 = 415,164 : x
2. Step 2: Convert to fraction form
   189,154.50/415,164 = 415,164/x
3. Step 3: Cross multiply
   189,154.50x = 415,164 × 415,164
4. Step 4: Simplify right side
   189,154.50x = 172,361,146,896
5. Step 5: Solve for x
   x = 172,361,146,896/189,154.50
6. Step 6: Final answer
   x = 911,218.85