Finding the Third Proportional to 85,323 and 117,616

Step by Step Solution

1. Step 1: Write the proportion equation
   85,323 : 117,616 = 117,616 : x
2. Step 2: Convert to fraction form
   85,323/117,616 = 117,616/x
3. Step 3: Cross multiply
   85,323x = 117,616 × 117,616
4. Step 4: Simplify right side
   85,323x = 13,833,523,456
5. Step 5: Solve for x
   x = 13,833,523,456/85,323
6. Step 6: Final answer
   x = 162,131.24