Finding the Third Proportional to 52,005 and 101,417

Step by Step Solution

1. Step 1: Write the proportion equation
   52,005 : 101,417 = 101,417 : x
2. Step 2: Convert to fraction form
   52,005/101,417 = 101,417/x
3. Step 3: Cross multiply
   52,005x = 101,417 × 101,417
4. Step 4: Simplify right side
   52,005x = 10,285,407,889
5. Step 5: Solve for x
   x = 10,285,407,889/52,005
6. Step 6: Final answer
   x = 197,777.29