Finding the Third Proportional to 81,358 and 123,184

Step by Step Solution

1. Step 1: Write the proportion equation
   81,358 : 123,184 = 123,184 : x
2. Step 2: Convert to fraction form
   81,358/123,184 = 123,184/x
3. Step 3: Cross multiply
   81,358x = 123,184 × 123,184
4. Step 4: Simplify right side
   81,358x = 15,174,297,856
5. Step 5: Solve for x
   x = 15,174,297,856/81,358
6. Step 6: Final answer
   x = 186,512.67