Finding the Third Proportional to 85,320 and 199,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,320 : 199,327.50 = 199,327.50 : x
2. Step 2: Convert to fraction form
   85,320/199,327.50 = 199,327.50/x
3. Step 3: Cross multiply
   85,320x = 199,327.50 × 199,327.50
4. Step 4: Simplify right side
   85,320x = 39,731,452,256.25
5. Step 5: Solve for x
   x = 39,731,452,256.25/85,320
6. Step 6: Final answer
   x = 465,675.72