Finding the Third Proportional to 38,222 and 89,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,222 : 89,933.50 = 89,933.50 : x
2. Step 2: Convert to fraction form
   38,222/89,933.50 = 89,933.50/x
3. Step 3: Cross multiply
   38,222x = 89,933.50 × 89,933.50
4. Step 4: Simplify right side
   38,222x = 8,088,034,422.25
5. Step 5: Solve for x
   x = 8,088,034,422.25/38,222
6. Step 6: Final answer
   x = 211,606.78