Finding the Third Proportional to 94,838 and 142,014

Step by Step Solution

1. Step 1: Write the proportion equation
   94,838 : 142,014 = 142,014 : x
2. Step 2: Convert to fraction form
   94,838/142,014 = 142,014/x
3. Step 3: Cross multiply
   94,838x = 142,014 × 142,014
4. Step 4: Simplify right side
   94,838x = 20,167,976,196
5. Step 5: Solve for x
   x = 20,167,976,196/94,838
6. Step 6: Final answer
   x = 212,657.12