Finding the Third Proportional to 89,094 and 138,402

Step by Step Solution

1. Step 1: Write the proportion equation
   89,094 : 138,402 = 138,402 : x
2. Step 2: Convert to fraction form
   89,094/138,402 = 138,402/x
3. Step 3: Cross multiply
   89,094x = 138,402 × 138,402
4. Step 4: Simplify right side
   89,094x = 19,155,113,604
5. Step 5: Solve for x
   x = 19,155,113,604/89,094
6. Step 6: Final answer
   x = 214,998.92