Finding the Third Proportional to 116,984 and 159,924

Step by Step Solution

1. Step 1: Write the proportion equation
   116,984 : 159,924 = 159,924 : x
2. Step 2: Convert to fraction form
   116,984/159,924 = 159,924/x
3. Step 3: Cross multiply
   116,984x = 159,924 × 159,924
4. Step 4: Simplify right side
   116,984x = 25,575,685,776
5. Step 5: Solve for x
   x = 25,575,685,776/116,984
6. Step 6: Final answer
   x = 218,625.50