Finding the Third Proportional to 130,848 and 196,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,848 : 196,267.50 = 196,267.50 : x
2. Step 2: Convert to fraction form
   130,848/196,267.50 = 196,267.50/x
3. Step 3: Cross multiply
   130,848x = 196,267.50 × 196,267.50
4. Step 4: Simplify right side
   130,848x = 38,520,931,556.25
5. Step 5: Solve for x
   x = 38,520,931,556.25/130,848
6. Step 6: Final answer
   x = 294,394.50