Finding the Third Proportional to 138,774 and 198,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,774 : 198,301.50 = 198,301.50 : x
2. Step 2: Convert to fraction form
   138,774/198,301.50 = 198,301.50/x
3. Step 3: Cross multiply
   138,774x = 198,301.50 × 198,301.50
4. Step 4: Simplify right side
   138,774x = 39,323,484,902.25
5. Step 5: Solve for x
   x = 39,323,484,902.25/138,774
6. Step 6: Final answer
   x = 283,363.49