Finding the Third Proportional to 200,072 and 292,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,072 : 292,619.50 = 292,619.50 : x
2. Step 2: Convert to fraction form
   200,072/292,619.50 = 292,619.50/x
3. Step 3: Cross multiply
   200,072x = 292,619.50 × 292,619.50
4. Step 4: Simplify right side
   200,072x = 85,626,171,780.25
5. Step 5: Solve for x
   x = 85,626,171,780.25/200,072
6. Step 6: Final answer
   x = 427,976.79