Finding the Third Proportional to 137,003 and 214,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,003 : 214,972.50 = 214,972.50 : x
2. Step 2: Convert to fraction form
   137,003/214,972.50 = 214,972.50/x
3. Step 3: Cross multiply
   137,003x = 214,972.50 × 214,972.50
4. Step 4: Simplify right side
   137,003x = 46,213,175,756.25
5. Step 5: Solve for x
   x = 46,213,175,756.25/137,003
6. Step 6: Final answer
   x = 337,315.06