Finding the Third Proportional to 74,152 and 114,914

Step by Step Solution

1. Step 1: Write the proportion equation
   74,152 : 114,914 = 114,914 : x
2. Step 2: Convert to fraction form
   74,152/114,914 = 114,914/x
3. Step 3: Cross multiply
   74,152x = 114,914 × 114,914
4. Step 4: Simplify right side
   74,152x = 13,205,227,396
5. Step 5: Solve for x
   x = 13,205,227,396/74,152
6. Step 6: Final answer
   x = 178,083.23