Finding the Third Proportional to 92,636 and 188,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,636 : 188,552.50 = 188,552.50 : x
2. Step 2: Convert to fraction form
   92,636/188,552.50 = 188,552.50/x
3. Step 3: Cross multiply
   92,636x = 188,552.50 × 188,552.50
4. Step 4: Simplify right side
   92,636x = 35,552,045,256.25
5. Step 5: Solve for x
   x = 35,552,045,256.25/92,636
6. Step 6: Final answer
   x = 383,782.17