Finding the Third Proportional to 109,947 and 164,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,947 : 164,632.50 = 164,632.50 : x
2. Step 2: Convert to fraction form
   109,947/164,632.50 = 164,632.50/x
3. Step 3: Cross multiply
   109,947x = 164,632.50 × 164,632.50
4. Step 4: Simplify right side
   109,947x = 27,103,860,056.25
5. Step 5: Solve for x
   x = 27,103,860,056.25/109,947
6. Step 6: Final answer
   x = 246,517.50