Finding the Third Proportional to 138,681 and 198,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,681 : 198,184.50 = 198,184.50 : x
2. Step 2: Convert to fraction form
   138,681/198,184.50 = 198,184.50/x
3. Step 3: Cross multiply
   138,681x = 198,184.50 × 198,184.50
4. Step 4: Simplify right side
   138,681x = 39,277,096,040.25
5. Step 5: Solve for x
   x = 39,277,096,040.25/138,681
6. Step 6: Final answer
   x = 283,219.01