Finding the Third Proportional to 138,807 and 196,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,807 : 196,546.50 = 196,546.50 : x
2. Step 2: Convert to fraction form
   138,807/196,546.50 = 196,546.50/x
3. Step 3: Cross multiply
   138,807x = 196,546.50 × 196,546.50
4. Step 4: Simplify right side
   138,807x = 38,630,526,662.25
5. Step 5: Solve for x
   x = 38,630,526,662.25/138,807
6. Step 6: Final answer
   x = 278,303.88