Finding the Third Proportional to 74,995 and 116,076

Step by Step Solution

1. Step 1: Write the proportion equation
   74,995 : 116,076 = 116,076 : x
2. Step 2: Convert to fraction form
   74,995/116,076 = 116,076/x
3. Step 3: Cross multiply
   74,995x = 116,076 × 116,076
4. Step 4: Simplify right side
   74,995x = 13,473,637,776
5. Step 5: Solve for x
   x = 13,473,637,776/74,995
6. Step 6: Final answer
   x = 179,660.48