Finding the Third Proportional to 73,835 and 158,126

Step by Step Solution

1. Step 1: Write the proportion equation
   73,835 : 158,126 = 158,126 : x
2. Step 2: Convert to fraction form
   73,835/158,126 = 158,126/x
3. Step 3: Cross multiply
   73,835x = 158,126 × 158,126
4. Step 4: Simplify right side
   73,835x = 25,003,831,876
5. Step 5: Solve for x
   x = 25,003,831,876/73,835
6. Step 6: Final answer
   x = 338,644.71