Finding the Third Proportional to 69,738 and 143,184

Step by Step Solution

1. Step 1: Write the proportion equation
   69,738 : 143,184 = 143,184 : x
2. Step 2: Convert to fraction form
   69,738/143,184 = 143,184/x
3. Step 3: Cross multiply
   69,738x = 143,184 × 143,184
4. Step 4: Simplify right side
   69,738x = 20,501,657,856
5. Step 5: Solve for x
   x = 20,501,657,856/69,738
6. Step 6: Final answer
   x = 293,981.16