Finding the Third Proportional to 199,566 and 293,515.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,566 : 293,515.50 = 293,515.50 : x
2. Step 2: Convert to fraction form
   199,566/293,515.50 = 293,515.50/x
3. Step 3: Cross multiply
   199,566x = 293,515.50 × 293,515.50
4. Step 4: Simplify right side
   199,566x = 86,151,348,740.25
5. Step 5: Solve for x
   x = 86,151,348,740.25/199,566
6. Step 6: Final answer
   x = 431,693.52