Finding the Third Proportional to 131,364 and 196,776

Step by Step Solution

1. Step 1: Write the proportion equation
   131,364 : 196,776 = 196,776 : x
2. Step 2: Convert to fraction form
   131,364/196,776 = 196,776/x
3. Step 3: Cross multiply
   131,364x = 196,776 × 196,776
4. Step 4: Simplify right side
   131,364x = 38,720,794,176
5. Step 5: Solve for x
   x = 38,720,794,176/131,364
6. Step 6: Final answer
   x = 294,759.55