Finding the Third Proportional to 81,520 and 123,103

Step by Step Solution

1. Step 1: Write the proportion equation
   81,520 : 123,103 = 123,103 : x
2. Step 2: Convert to fraction form
   81,520/123,103 = 123,103/x
3. Step 3: Cross multiply
   81,520x = 123,103 × 123,103
4. Step 4: Simplify right side
   81,520x = 15,154,348,609
5. Step 5: Solve for x
   x = 15,154,348,609/81,520
6. Step 6: Final answer
   x = 185,897.31