Finding the Third Proportional to 199,623 and 293,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,623 : 293,599.50 = 293,599.50 : x
2. Step 2: Convert to fraction form
   199,623/293,599.50 = 293,599.50/x
3. Step 3: Cross multiply
   199,623x = 293,599.50 × 293,599.50
4. Step 4: Simplify right side
   199,623x = 86,200,666,400.25
5. Step 5: Solve for x
   x = 86,200,666,400.25/199,623
6. Step 6: Final answer
   x = 431,817.31