Finding the Third Proportional to 85,698 and 200,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,698 : 200,272.50 = 200,272.50 : x
2. Step 2: Convert to fraction form
   85,698/200,272.50 = 200,272.50/x
3. Step 3: Cross multiply
   85,698x = 200,272.50 × 200,272.50
4. Step 4: Simplify right side
   85,698x = 40,109,074,256.25
5. Step 5: Solve for x
   x = 40,109,074,256.25/85,698
6. Step 6: Final answer
   x = 468,028.13