Finding the Third Proportional to 42,540 and 92,526

Step by Step Solution

1. Step 1: Write the proportion equation
   42,540 : 92,526 = 92,526 : x
2. Step 2: Convert to fraction form
   42,540/92,526 = 92,526/x
3. Step 3: Cross multiply
   42,540x = 92,526 × 92,526
4. Step 4: Simplify right side
   42,540x = 8,561,060,676
5. Step 5: Solve for x
   x = 8,561,060,676/42,540
6. Step 6: Final answer
   x = 201,247.31