Finding the Third Proportional to 82,148 and 191,978

Step by Step Solution

1. Step 1: Write the proportion equation
   82,148 : 191,978 = 191,978 : x
2. Step 2: Convert to fraction form
   82,148/191,978 = 191,978/x
3. Step 3: Cross multiply
   82,148x = 191,978 × 191,978
4. Step 4: Simplify right side
   82,148x = 36,855,552,484
5. Step 5: Solve for x
   x = 36,855,552,484/82,148
6. Step 6: Final answer
   x = 448,648.20