Finding the Third Proportional to 102,308 and 218,826

Step by Step Solution

1. Step 1: Write the proportion equation
   102,308 : 218,826 = 218,826 : x
2. Step 2: Convert to fraction form
   102,308/218,826 = 218,826/x
3. Step 3: Cross multiply
   102,308x = 218,826 × 218,826
4. Step 4: Simplify right side
   102,308x = 47,884,818,276
5. Step 5: Solve for x
   x = 47,884,818,276/102,308
6. Step 6: Final answer
   x = 468,045.69