Finding the Third Proportional to 109,280 and 164,924

Step by Step Solution

1. Step 1: Write the proportion equation
   109,280 : 164,924 = 164,924 : x
2. Step 2: Convert to fraction form
   109,280/164,924 = 164,924/x
3. Step 3: Cross multiply
   109,280x = 164,924 × 164,924
4. Step 4: Simplify right side
   109,280x = 27,199,925,776
5. Step 5: Solve for x
   x = 27,199,925,776/109,280
6. Step 6: Final answer
   x = 248,901.22