Finding the Third Proportional to 86,929 and 138,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,929 : 138,810.50 = 138,810.50 : x
2. Step 2: Convert to fraction form
   86,929/138,810.50 = 138,810.50/x
3. Step 3: Cross multiply
   86,929x = 138,810.50 × 138,810.50
4. Step 4: Simplify right side
   86,929x = 19,268,354,910.25
5. Step 5: Solve for x
   x = 19,268,354,910.25/86,929
6. Step 6: Final answer
   x = 221,656.24