Finding the Third Proportional to 89,922 and 139,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,922 : 139,711.50 = 139,711.50 : x
2. Step 2: Convert to fraction form
   89,922/139,711.50 = 139,711.50/x
3. Step 3: Cross multiply
   89,922x = 139,711.50 × 139,711.50
4. Step 4: Simplify right side
   89,922x = 19,519,303,232.25
5. Step 5: Solve for x
   x = 19,519,303,232.25/89,922
6. Step 6: Final answer
   x = 217,069.27