Finding the Third Proportional to 93,888 and 141,642

Step by Step Solution

1. Step 1: Write the proportion equation
   93,888 : 141,642 = 141,642 : x
2. Step 2: Convert to fraction form
   93,888/141,642 = 141,642/x
3. Step 3: Cross multiply
   93,888x = 141,642 × 141,642
4. Step 4: Simplify right side
   93,888x = 20,062,456,164
5. Step 5: Solve for x
   x = 20,062,456,164/93,888
6. Step 6: Final answer
   x = 213,684.99