Finding the Third Proportional to 288,140 and 422,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   288,140 : 422,868.50 = 422,868.50 : x
2. Step 2: Convert to fraction form
   288,140/422,868.50 = 422,868.50/x
3. Step 3: Cross multiply
   288,140x = 422,868.50 × 422,868.50
4. Step 4: Simplify right side
   288,140x = 178,817,768,292.25
5. Step 5: Solve for x
   x = 178,817,768,292.25/288,140
6. Step 6: Final answer
   x = 620,593.35