Finding the Third Proportional to 74,942 and 155,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,942 : 155,166.50 = 155,166.50 : x
2. Step 2: Convert to fraction form
   74,942/155,166.50 = 155,166.50/x
3. Step 3: Cross multiply
   74,942x = 155,166.50 × 155,166.50
4. Step 4: Simplify right side
   74,942x = 24,076,642,722.25
5. Step 5: Solve for x
   x = 24,076,642,722.25/74,942
6. Step 6: Final answer
   x = 321,270.35