Finding the Third Proportional to 52,003 and 101,414

Step by Step Solution

1. Step 1: Write the proportion equation
   52,003 : 101,414 = 101,414 : x
2. Step 2: Convert to fraction form
   52,003/101,414 = 101,414/x
3. Step 3: Cross multiply
   52,003x = 101,414 × 101,414
4. Step 4: Simplify right side
   52,003x = 10,284,799,396
5. Step 5: Solve for x
   x = 10,284,799,396/52,003
6. Step 6: Final answer
   x = 197,773.19