Finding the Third Proportional to 89,292 and 138,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,292 : 138,136.50 = 138,136.50 : x
2. Step 2: Convert to fraction form
   89,292/138,136.50 = 138,136.50/x
3. Step 3: Cross multiply
   89,292x = 138,136.50 × 138,136.50
4. Step 4: Simplify right side
   89,292x = 19,081,692,632.25
5. Step 5: Solve for x
   x = 19,081,692,632.25/89,292
6. Step 6: Final answer
   x = 213,699.91