Finding the Third Proportional to 381,102 and 557,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,102 : 557,340.50 = 557,340.50 : x
2. Step 2: Convert to fraction form
   381,102/557,340.50 = 557,340.50/x
3. Step 3: Cross multiply
   381,102x = 557,340.50 × 557,340.50
4. Step 4: Simplify right side
   381,102x = 310,628,432,940.25
5. Step 5: Solve for x
   x = 310,628,432,940.25/381,102
6. Step 6: Final answer
   x = 815,079.51