Finding the Third Proportional to 138,051 and 209,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,051 : 209,155.50 = 209,155.50 : x
2. Step 2: Convert to fraction form
   138,051/209,155.50 = 209,155.50/x
3. Step 3: Cross multiply
   138,051x = 209,155.50 × 209,155.50
4. Step 4: Simplify right side
   138,051x = 43,746,023,180.25
5. Step 5: Solve for x
   x = 43,746,023,180.25/138,051
6. Step 6: Final answer
   x = 316,883.06