Finding the Third Proportional to 102,330 and 208,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,330 : 208,819.50 = 208,819.50 : x
2. Step 2: Convert to fraction form
   102,330/208,819.50 = 208,819.50/x
3. Step 3: Cross multiply
   102,330x = 208,819.50 × 208,819.50
4. Step 4: Simplify right side
   102,330x = 43,605,583,580.25
5. Step 5: Solve for x
   x = 43,605,583,580.25/102,330
6. Step 6: Final answer
   x = 426,127.07