Finding the Third Proportional to 81,873 and 123,113

Step by Step Solution

1. Step 1: Write the proportion equation
   81,873 : 123,113 = 123,113 : x
2. Step 2: Convert to fraction form
   81,873/123,113 = 123,113/x
3. Step 3: Cross multiply
   81,873x = 123,113 × 123,113
4. Step 4: Simplify right side
   81,873x = 15,156,810,769
5. Step 5: Solve for x
   x = 15,156,810,769/81,873
6. Step 6: Final answer
   x = 185,125.88