Finding the Third Proportional to 74,656 and 113,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,656 : 113,168.50 = 113,168.50 : x
2. Step 2: Convert to fraction form
   74,656/113,168.50 = 113,168.50/x
3. Step 3: Cross multiply
   74,656x = 113,168.50 × 113,168.50
4. Step 4: Simplify right side
   74,656x = 12,807,109,392.25
5. Step 5: Solve for x
   x = 12,807,109,392.25/74,656
6. Step 6: Final answer
   x = 171,548.29