Finding the Third Proportional to 86,180 and 189,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,180 : 189,366.50 = 189,366.50 : x
2. Step 2: Convert to fraction form
   86,180/189,366.50 = 189,366.50/x
3. Step 3: Cross multiply
   86,180x = 189,366.50 × 189,366.50
4. Step 4: Simplify right side
   86,180x = 35,859,671,322.25
5. Step 5: Solve for x
   x = 35,859,671,322.25/86,180
6. Step 6: Final answer
   x = 416,102.01