Finding the Third Proportional to 137,491.50 and 288,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,491.50 : 288,820.50 = 288,820.50 : x
2. Step 2: Convert to fraction form
   137,491.50/288,820.50 = 288,820.50/x
3. Step 3: Cross multiply
   137,491.50x = 288,820.50 × 288,820.50
4. Step 4: Simplify right side
   137,491.50x = 83,417,281,220.25
5. Step 5: Solve for x
   x = 83,417,281,220.25/137,491.50
6. Step 6: Final answer
   x = 606,708.64