Finding the Third Proportional to 138,927 and 199,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,927 : 199,642.50 = 199,642.50 : x
2. Step 2: Convert to fraction form
   138,927/199,642.50 = 199,642.50/x
3. Step 3: Cross multiply
   138,927x = 199,642.50 × 199,642.50
4. Step 4: Simplify right side
   138,927x = 39,857,127,806.25
5. Step 5: Solve for x
   x = 39,857,127,806.25/138,927
6. Step 6: Final answer
   x = 286,892.60