Finding the Third Proportional to 138,267 and 197,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,267 : 197,437.50 = 197,437.50 : x
2. Step 2: Convert to fraction form
   138,267/197,437.50 = 197,437.50/x
3. Step 3: Cross multiply
   138,267x = 197,437.50 × 197,437.50
4. Step 4: Simplify right side
   138,267x = 38,981,566,406.25
5. Step 5: Solve for x
   x = 38,981,566,406.25/138,267
6. Step 6: Final answer
   x = 281,929.65