Finding the Third Proportional to 89,235 and 138,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,235 : 138,172.50 = 138,172.50 : x
2. Step 2: Convert to fraction form
   89,235/138,172.50 = 138,172.50/x
3. Step 3: Cross multiply
   89,235x = 138,172.50 × 138,172.50
4. Step 4: Simplify right side
   89,235x = 19,091,639,756.25
5. Step 5: Solve for x
   x = 19,091,639,756.25/89,235
6. Step 6: Final answer
   x = 213,947.89