Finding the Third Proportional to 89,815 and 138,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,815 : 138,466.50 = 138,466.50 : x
2. Step 2: Convert to fraction form
   89,815/138,466.50 = 138,466.50/x
3. Step 3: Cross multiply
   89,815x = 138,466.50 × 138,466.50
4. Step 4: Simplify right side
   89,815x = 19,172,971,622.25
5. Step 5: Solve for x
   x = 19,172,971,622.25/89,815
6. Step 6: Final answer
   x = 213,471.82