Finding the Third Proportional to 75,012 and 116,118

Step by Step Solution

1. Step 1: Write the proportion equation
   75,012 : 116,118 = 116,118 : x
2. Step 2: Convert to fraction form
   75,012/116,118 = 116,118/x
3. Step 3: Cross multiply
   75,012x = 116,118 × 116,118
4. Step 4: Simplify right side
   75,012x = 13,483,389,924
5. Step 5: Solve for x
   x = 13,483,389,924/75,012
6. Step 6: Final answer
   x = 179,749.77