Finding the Third Proportional to 102,056 and 218,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,056 : 218,874.50 = 218,874.50 : x
2. Step 2: Convert to fraction form
   102,056/218,874.50 = 218,874.50/x
3. Step 3: Cross multiply
   102,056x = 218,874.50 × 218,874.50
4. Step 4: Simplify right side
   102,056x = 47,906,046,750.25
5. Step 5: Solve for x
   x = 47,906,046,750.25/102,056
6. Step 6: Final answer
   x = 469,409.41