Finding the Third Proportional to 199,617 and 293,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,617 : 293,587.50 = 293,587.50 : x
2. Step 2: Convert to fraction form
   199,617/293,587.50 = 293,587.50/x
3. Step 3: Cross multiply
   199,617x = 293,587.50 × 293,587.50
4. Step 4: Simplify right side
   199,617x = 86,193,620,156.25
5. Step 5: Solve for x
   x = 86,193,620,156.25/199,617
6. Step 6: Final answer
   x = 431,794.99