Finding the Third Proportional to 189,942 and 405,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,942 : 405,307.50 = 405,307.50 : x
2. Step 2: Convert to fraction form
   189,942/405,307.50 = 405,307.50/x
3. Step 3: Cross multiply
   189,942x = 405,307.50 × 405,307.50
4. Step 4: Simplify right side
   189,942x = 164,274,169,556.25
5. Step 5: Solve for x
   x = 164,274,169,556.25/189,942
6. Step 6: Final answer
   x = 864,864.90