Finding the Third Proportional to 81,927 and 123,467.63

Step by Step Solution

1. Step 1: Write the proportion equation
   81,927 : 123,467.63 = 123,467.63 : x
2. Step 2: Convert to fraction form
   81,927/123,467.63 = 123,467.63/x
3. Step 3: Cross multiply
   81,927x = 123,467.63 × 123,467.63
4. Step 4: Simplify right side
   81,927x = 15,244,254,423.14
5. Step 5: Solve for x
   x = 15,244,254,423.14/81,927
6. Step 6: Final answer
   x = 186,071.19