Finding the Third Proportional to 74,635 and 111,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,635 : 111,906.50 = 111,906.50 : x
2. Step 2: Convert to fraction form
   74,635/111,906.50 = 111,906.50/x
3. Step 3: Cross multiply
   74,635x = 111,906.50 × 111,906.50
4. Step 4: Simplify right side
   74,635x = 12,523,064,742.25
5. Step 5: Solve for x
   x = 12,523,064,742.25/74,635
6. Step 6: Final answer
   x = 167,790.78