Finding the Third Proportional to 82,924 and 194,913

Step by Step Solution

1. Step 1: Write the proportion equation
   82,924 : 194,913 = 194,913 : x
2. Step 2: Convert to fraction form
   82,924/194,913 = 194,913/x
3. Step 3: Cross multiply
   82,924x = 194,913 × 194,913
4. Step 4: Simplify right side
   82,924x = 37,991,077,569
5. Step 5: Solve for x
   x = 37,991,077,569/82,924
6. Step 6: Final answer
   x = 458,143.33