Finding the Third Proportional to 103,632 and 185,943

Step by Step Solution

1. Step 1: Write the proportion equation
   103,632 : 185,943 = 185,943 : x
2. Step 2: Convert to fraction form
   103,632/185,943 = 185,943/x
3. Step 3: Cross multiply
   103,632x = 185,943 × 185,943
4. Step 4: Simplify right side
   103,632x = 34,574,799,249
5. Step 5: Solve for x
   x = 34,574,799,249/103,632
6. Step 6: Final answer
   x = 333,630.53