Finding the Third Proportional to 140,733 and 287,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,733 : 287,194.50 = 287,194.50 : x
2. Step 2: Convert to fraction form
   140,733/287,194.50 = 287,194.50/x
3. Step 3: Cross multiply
   140,733x = 287,194.50 × 287,194.50
4. Step 4: Simplify right side
   140,733x = 82,480,680,830.25
5. Step 5: Solve for x
   x = 82,480,680,830.25/140,733
6. Step 6: Final answer
   x = 586,079.18