Finding the Third Proportional to 74,090 and 111,774

Step by Step Solution

1. Step 1: Write the proportion equation
   74,090 : 111,774 = 111,774 : x
2. Step 2: Convert to fraction form
   74,090/111,774 = 111,774/x
3. Step 3: Cross multiply
   74,090x = 111,774 × 111,774
4. Step 4: Simplify right side
   74,090x = 12,493,427,076
5. Step 5: Solve for x
   x = 12,493,427,076/74,090
6. Step 6: Final answer
   x = 168,625.01