Finding the Third Proportional to 92,916 and 142,164

Step by Step Solution

1. Step 1: Write the proportion equation
   92,916 : 142,164 = 142,164 : x
2. Step 2: Convert to fraction form
   92,916/142,164 = 142,164/x
3. Step 3: Cross multiply
   92,916x = 142,164 × 142,164
4. Step 4: Simplify right side
   92,916x = 20,210,602,896
5. Step 5: Solve for x
   x = 20,210,602,896/92,916
6. Step 6: Final answer
   x = 217,514.78