Finding the Third Proportional to 74,649 and 113,158

Step by Step Solution

1. Step 1: Write the proportion equation
   74,649 : 113,158 = 113,158 : x
2. Step 2: Convert to fraction form
   74,649/113,158 = 113,158/x
3. Step 3: Cross multiply
   74,649x = 113,158 × 113,158
4. Step 4: Simplify right side
   74,649x = 12,804,732,964
5. Step 5: Solve for x
   x = 12,804,732,964/74,649
6. Step 6: Final answer
   x = 171,532.55