Finding the Third Proportional to 85,552 and 199,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,552 : 199,907.50 = 199,907.50 : x
2. Step 2: Convert to fraction form
   85,552/199,907.50 = 199,907.50/x
3. Step 3: Cross multiply
   85,552x = 199,907.50 × 199,907.50
4. Step 4: Simplify right side
   85,552x = 39,963,008,556.25
5. Step 5: Solve for x
   x = 39,963,008,556.25/85,552
6. Step 6: Final answer
   x = 467,119.51