Finding the Third Proportional to 89,322 and 138,244.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,322 : 138,244.50 = 138,244.50 : x
2. Step 2: Convert to fraction form
   89,322/138,244.50 = 138,244.50/x
3. Step 3: Cross multiply
   89,322x = 138,244.50 × 138,244.50
4. Step 4: Simplify right side
   89,322x = 19,111,541,780.25
5. Step 5: Solve for x
   x = 19,111,541,780.25/89,322
6. Step 6: Final answer
   x = 213,962.31