Finding the Third Proportional to 75,843.50 and 164,924

Step by Step Solution

1. Step 1: Write the proportion equation
   75,843.50 : 164,924 = 164,924 : x
2. Step 2: Convert to fraction form
   75,843.50/164,924 = 164,924/x
3. Step 3: Cross multiply
   75,843.50x = 164,924 × 164,924
4. Step 4: Simplify right side
   75,843.50x = 27,199,925,776
5. Step 5: Solve for x
   x = 27,199,925,776/75,843.50
6. Step 6: Final answer
   x = 358,632.26