Finding the Third Proportional to 74,952 and 155,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,952 : 155,185.50 = 155,185.50 : x
2. Step 2: Convert to fraction form
   74,952/155,185.50 = 155,185.50/x
3. Step 3: Cross multiply
   74,952x = 155,185.50 × 155,185.50
4. Step 4: Simplify right side
   74,952x = 24,082,539,410.25
5. Step 5: Solve for x
   x = 24,082,539,410.25/74,952
6. Step 6: Final answer
   x = 321,306.16