Finding the Third Proportional to 165,258 and 242,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,258 : 242,578.50 = 242,578.50 : x
2. Step 2: Convert to fraction form
   165,258/242,578.50 = 242,578.50/x
3. Step 3: Cross multiply
   165,258x = 242,578.50 × 242,578.50
4. Step 4: Simplify right side
   165,258x = 58,844,328,662.25
5. Step 5: Solve for x
   x = 58,844,328,662.25/165,258
6. Step 6: Final answer
   x = 356,075.52