Finding the Third Proportional to 78,372 and 141,184

Step by Step Solution

1. Step 1: Write the proportion equation
   78,372 : 141,184 = 141,184 : x
2. Step 2: Convert to fraction form
   78,372/141,184 = 141,184/x
3. Step 3: Cross multiply
   78,372x = 141,184 × 141,184
4. Step 4: Simplify right side
   78,372x = 19,932,921,856
5. Step 5: Solve for x
   x = 19,932,921,856/78,372
6. Step 6: Final answer
   x = 254,337.29