Finding the Third Proportional to 137,907 and 216,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,907 : 216,697.50 = 216,697.50 : x
2. Step 2: Convert to fraction form
   137,907/216,697.50 = 216,697.50/x
3. Step 3: Cross multiply
   137,907x = 216,697.50 × 216,697.50
4. Step 4: Simplify right side
   137,907x = 46,957,806,506.25
5. Step 5: Solve for x
   x = 46,957,806,506.25/137,907
6. Step 6: Final answer
   x = 340,503.43