Finding the Third Proportional to 354,300 and 538,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,300 : 538,010.50 = 538,010.50 : x
2. Step 2: Convert to fraction form
   354,300/538,010.50 = 538,010.50/x
3. Step 3: Cross multiply
   354,300x = 538,010.50 × 538,010.50
4. Step 4: Simplify right side
   354,300x = 289,455,298,110.25
5. Step 5: Solve for x
   x = 289,455,298,110.25/354,300
6. Step 6: Final answer
   x = 816,977.98