Finding the Third Proportional to 76,094 and 117,111

Step by Step Solution

1. Step 1: Write the proportion equation
   76,094 : 117,111 = 117,111 : x
2. Step 2: Convert to fraction form
   76,094/117,111 = 117,111/x
3. Step 3: Cross multiply
   76,094x = 117,111 × 117,111
4. Step 4: Simplify right side
   76,094x = 13,714,986,321
5. Step 5: Solve for x
   x = 13,714,986,321/76,094
6. Step 6: Final answer
   x = 180,237.42