Finding the Third Proportional to 89,242 and 138,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,242 : 138,184.50 = 138,184.50 : x
2. Step 2: Convert to fraction form
   89,242/138,184.50 = 138,184.50/x
3. Step 3: Cross multiply
   89,242x = 138,184.50 × 138,184.50
4. Step 4: Simplify right side
   89,242x = 19,094,956,040.25
5. Step 5: Solve for x
   x = 19,094,956,040.25/89,242
6. Step 6: Final answer
   x = 213,968.27