Finding the Third Proportional to 74,136 and 111,186

Step by Step Solution

1. Step 1: Write the proportion equation
   74,136 : 111,186 = 111,186 : x
2. Step 2: Convert to fraction form
   74,136/111,186 = 111,186/x
3. Step 3: Cross multiply
   74,136x = 111,186 × 111,186
4. Step 4: Simplify right side
   74,136x = 12,362,326,596
5. Step 5: Solve for x
   x = 12,362,326,596/74,136
6. Step 6: Final answer
   x = 166,752.00