Finding the Third Proportional to 94,536 and 142,092

Step by Step Solution

1. Step 1: Write the proportion equation
   94,536 : 142,092 = 142,092 : x
2. Step 2: Convert to fraction form
   94,536/142,092 = 142,092/x
3. Step 3: Cross multiply
   94,536x = 142,092 × 142,092
4. Step 4: Simplify right side
   94,536x = 20,190,136,464
5. Step 5: Solve for x
   x = 20,190,136,464/94,536
6. Step 6: Final answer
   x = 213,570.88