Finding the Third Proportional to 41,748 and 86,946

Step by Step Solution

1. Step 1: Write the proportion equation
   41,748 : 86,946 = 86,946 : x
2. Step 2: Convert to fraction form
   41,748/86,946 = 86,946/x
3. Step 3: Cross multiply
   41,748x = 86,946 × 86,946
4. Step 4: Simplify right side
   41,748x = 7,559,606,916
5. Step 5: Solve for x
   x = 7,559,606,916/41,748
6. Step 6: Final answer
   x = 181,077.10