Finding the Third Proportional to 89,715 and 188,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,715 : 188,725.50 = 188,725.50 : x
2. Step 2: Convert to fraction form
   89,715/188,725.50 = 188,725.50/x
3. Step 3: Cross multiply
   89,715x = 188,725.50 × 188,725.50
4. Step 4: Simplify right side
   89,715x = 35,617,314,350.25
5. Step 5: Solve for x
   x = 35,617,314,350.25/89,715
6. Step 6: Final answer
   x = 397,005.12