Finding the Third Proportional to 132,510 and 196,964

Step by Step Solution

1. Step 1: Write the proportion equation
   132,510 : 196,964 = 196,964 : x
2. Step 2: Convert to fraction form
   132,510/196,964 = 196,964/x
3. Step 3: Cross multiply
   132,510x = 196,964 × 196,964
4. Step 4: Simplify right side
   132,510x = 38,794,817,296
5. Step 5: Solve for x
   x = 38,794,817,296/132,510
6. Step 6: Final answer
   x = 292,768.98