Finding the Third Proportional to 199,677 and 432,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,677 : 432,586.50 = 432,586.50 : x
2. Step 2: Convert to fraction form
   199,677/432,586.50 = 432,586.50/x
3. Step 3: Cross multiply
   199,677x = 432,586.50 × 432,586.50
4. Step 4: Simplify right side
   199,677x = 187,131,079,982.25
5. Step 5: Solve for x
   x = 187,131,079,982.25/199,677
6. Step 6: Final answer
   x = 937,168.93