Finding the Third Proportional to 198,012 and 262,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   198,012 : 262,567.50 = 262,567.50 : x
2. Step 2: Convert to fraction form
   198,012/262,567.50 = 262,567.50/x
3. Step 3: Cross multiply
   198,012x = 262,567.50 × 262,567.50
4. Step 4: Simplify right side
   198,012x = 68,941,692,056.25
5. Step 5: Solve for x
   x = 68,941,692,056.25/198,012
6. Step 6: Final answer
   x = 348,169.26