Finding the Third Proportional to 88,767 and 192,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,767 : 192,577.50 = 192,577.50 : x
2. Step 2: Convert to fraction form
   88,767/192,577.50 = 192,577.50/x
3. Step 3: Cross multiply
   88,767x = 192,577.50 × 192,577.50
4. Step 4: Simplify right side
   88,767x = 37,086,093,506.25
5. Step 5: Solve for x
   x = 37,086,093,506.25/88,767
6. Step 6: Final answer
   x = 417,791.45