Finding the Third Proportional to 89,379 and 138,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,379 : 138,262.50 = 138,262.50 : x
2. Step 2: Convert to fraction form
   89,379/138,262.50 = 138,262.50/x
3. Step 3: Cross multiply
   89,379x = 138,262.50 × 138,262.50
4. Step 4: Simplify right side
   89,379x = 19,116,518,906.25
5. Step 5: Solve for x
   x = 19,116,518,906.25/89,379
6. Step 6: Final answer
   x = 213,881.55