Finding the Third Proportional to 52,261 and 101,894

Step by Step Solution

1. Step 1: Write the proportion equation
   52,261 : 101,894 = 101,894 : x
2. Step 2: Convert to fraction form
   52,261/101,894 = 101,894/x
3. Step 3: Cross multiply
   52,261x = 101,894 × 101,894
4. Step 4: Simplify right side
   52,261x = 10,382,387,236
5. Step 5: Solve for x
   x = 10,382,387,236/52,261
6. Step 6: Final answer
   x = 198,664.15