Finding the Third Proportional to 74,880 and 164,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,880 : 164,821.50 = 164,821.50 : x
2. Step 2: Convert to fraction form
   74,880/164,821.50 = 164,821.50/x
3. Step 3: Cross multiply
   74,880x = 164,821.50 × 164,821.50
4. Step 4: Simplify right side
   74,880x = 27,166,126,862.25
5. Step 5: Solve for x
   x = 27,166,126,862.25/74,880
6. Step 6: Final answer
   x = 362,795.50