Finding the Third Proportional to 102,142.50 and 168,806.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,142.50 : 168,806.25 = 168,806.25 : x
2. Step 2: Convert to fraction form
   102,142.50/168,806.25 = 168,806.25/x
3. Step 3: Cross multiply
   102,142.50x = 168,806.25 × 168,806.25
4. Step 4: Simplify right side
   102,142.50x = 28,495,550,039.06
5. Step 5: Solve for x
   x = 28,495,550,039.06/102,142.50
6. Step 6: Final answer
   x = 278,978.39