Finding the Third Proportional to 82,924 and 127,521

Step by Step Solution

1. Step 1: Write the proportion equation
   82,924 : 127,521 = 127,521 : x
2. Step 2: Convert to fraction form
   82,924/127,521 = 127,521/x
3. Step 3: Cross multiply
   82,924x = 127,521 × 127,521
4. Step 4: Simplify right side
   82,924x = 16,261,605,441
5. Step 5: Solve for x
   x = 16,261,605,441/82,924
6. Step 6: Final answer
   x = 196,102.52