Finding the Third Proportional to 137,493 and 288,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,493 : 288,823.50 = 288,823.50 : x
2. Step 2: Convert to fraction form
   137,493/288,823.50 = 288,823.50/x
3. Step 3: Cross multiply
   137,493x = 288,823.50 × 288,823.50
4. Step 4: Simplify right side
   137,493x = 83,419,014,152.25
5. Step 5: Solve for x
   x = 83,419,014,152.25/137,493
6. Step 6: Final answer
   x = 606,714.63