Finding the Third Proportional to 137,886 and 200,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,886 : 200,620.50 = 200,620.50 : x
2. Step 2: Convert to fraction form
   137,886/200,620.50 = 200,620.50/x
3. Step 3: Cross multiply
   137,886x = 200,620.50 × 200,620.50
4. Step 4: Simplify right side
   137,886x = 40,248,585,020.25
5. Step 5: Solve for x
   x = 40,248,585,020.25/137,886
6. Step 6: Final answer
   x = 291,897.55