Finding the Third Proportional to 89,070 and 138,033

Step by Step Solution

1. Step 1: Write the proportion equation
   89,070 : 138,033 = 138,033 : x
2. Step 2: Convert to fraction form
   89,070/138,033 = 138,033/x
3. Step 3: Cross multiply
   89,070x = 138,033 × 138,033
4. Step 4: Simplify right side
   89,070x = 19,053,109,089
5. Step 5: Solve for x
   x = 19,053,109,089/89,070
6. Step 6: Final answer
   x = 213,911.63