Finding the Third Proportional to 98,044 and 138,064

Step by Step Solution

1. Step 1: Write the proportion equation
   98,044 : 138,064 = 138,064 : x
2. Step 2: Convert to fraction form
   98,044/138,064 = 138,064/x
3. Step 3: Cross multiply
   98,044x = 138,064 × 138,064
4. Step 4: Simplify right side
   98,044x = 19,061,668,096
5. Step 5: Solve for x
   x = 19,061,668,096/98,044
6. Step 6: Final answer
   x = 194,419.53