Finding the Third Proportional to 102,615 and 154,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,615 : 154,222.50 = 154,222.50 : x
2. Step 2: Convert to fraction form
   102,615/154,222.50 = 154,222.50/x
3. Step 3: Cross multiply
   102,615x = 154,222.50 × 154,222.50
4. Step 4: Simplify right side
   102,615x = 23,784,579,506.25
5. Step 5: Solve for x
   x = 23,784,579,506.25/102,615
6. Step 6: Final answer
   x = 231,784.63