Finding the Third Proportional to 52,693 and 100,526

Step by Step Solution

1. Step 1: Write the proportion equation
   52,693 : 100,526 = 100,526 : x
2. Step 2: Convert to fraction form
   52,693/100,526 = 100,526/x
3. Step 3: Cross multiply
   52,693x = 100,526 × 100,526
4. Step 4: Simplify right side
   52,693x = 10,105,476,676
5. Step 5: Solve for x
   x = 10,105,476,676/52,693
6. Step 6: Final answer
   x = 191,780.25