Finding the Third Proportional to 88,884 and 142,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,884 : 142,706.50 = 142,706.50 : x
2. Step 2: Convert to fraction form
   88,884/142,706.50 = 142,706.50/x
3. Step 3: Cross multiply
   88,884x = 142,706.50 × 142,706.50
4. Step 4: Simplify right side
   88,884x = 20,365,145,142.25
5. Step 5: Solve for x
   x = 20,365,145,142.25/88,884
6. Step 6: Final answer
   x = 229,120.48