Finding the Third Proportional to 138,153 and 209,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,153 : 209,932.50 = 209,932.50 : x
2. Step 2: Convert to fraction form
   138,153/209,932.50 = 209,932.50/x
3. Step 3: Cross multiply
   138,153x = 209,932.50 × 209,932.50
4. Step 4: Simplify right side
   138,153x = 44,071,654,556.25
5. Step 5: Solve for x
   x = 44,071,654,556.25/138,153
6. Step 6: Final answer
   x = 319,006.13