Finding the Third Proportional to 196,953.50 and 286,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,953.50 : 286,818.50 = 286,818.50 : x
2. Step 2: Convert to fraction form
   196,953.50/286,818.50 = 286,818.50/x
3. Step 3: Cross multiply
   196,953.50x = 286,818.50 × 286,818.50
4. Step 4: Simplify right side
   196,953.50x = 82,264,851,942.25
5. Step 5: Solve for x
   x = 82,264,851,942.25/196,953.50
6. Step 6: Final answer
   x = 417,686.67