Finding the Third Proportional to 88,633 and 189,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,633 : 189,725.50 = 189,725.50 : x
2. Step 2: Convert to fraction form
   88,633/189,725.50 = 189,725.50/x
3. Step 3: Cross multiply
   88,633x = 189,725.50 × 189,725.50
4. Step 4: Simplify right side
   88,633x = 35,995,765,350.25
5. Step 5: Solve for x
   x = 35,995,765,350.25/88,633
6. Step 6: Final answer
   x = 406,121.48