Finding the Third Proportional to 138,101 and 209,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,101 : 209,019.50 = 209,019.50 : x
2. Step 2: Convert to fraction form
   138,101/209,019.50 = 209,019.50/x
3. Step 3: Cross multiply
   138,101x = 209,019.50 × 209,019.50
4. Step 4: Simplify right side
   138,101x = 43,689,151,380.25
5. Step 5: Solve for x
   x = 43,689,151,380.25/138,101
6. Step 6: Final answer
   x = 316,356.52