Finding the Third Proportional to 120,964 and 158,118

Step by Step Solution

1. Step 1: Write the proportion equation
   120,964 : 158,118 = 158,118 : x
2. Step 2: Convert to fraction form
   120,964/158,118 = 158,118/x
3. Step 3: Cross multiply
   120,964x = 158,118 × 158,118
4. Step 4: Simplify right side
   120,964x = 25,001,301,924
5. Step 5: Solve for x
   x = 25,001,301,924/120,964
6. Step 6: Final answer
   x = 206,683.82