Finding the Third Proportional to 74,342 and 111,188.25

Step by Step Solution

1. Step 1: Write the proportion equation
   74,342 : 111,188.25 = 111,188.25 : x
2. Step 2: Convert to fraction form
   74,342/111,188.25 = 111,188.25/x
3. Step 3: Cross multiply
   74,342x = 111,188.25 × 111,188.25
4. Step 4: Simplify right side
   74,342x = 12,362,826,938.06
5. Step 5: Solve for x
   x = 12,362,826,938.06/74,342
6. Step 6: Final answer
   x = 166,296.67