Finding the Third Proportional to 86,611.50 and 189,774

Step by Step Solution

1. Step 1: Write the proportion equation
   86,611.50 : 189,774 = 189,774 : x
2. Step 2: Convert to fraction form
   86,611.50/189,774 = 189,774/x
3. Step 3: Cross multiply
   86,611.50x = 189,774 × 189,774
4. Step 4: Simplify right side
   86,611.50x = 36,014,171,076
5. Step 5: Solve for x
   x = 36,014,171,076/86,611.50
6. Step 6: Final answer
   x = 415,812.81