Finding the Third Proportional to 137,726 and 212,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,726 : 212,817.50 = 212,817.50 : x
2. Step 2: Convert to fraction form
   137,726/212,817.50 = 212,817.50/x
3. Step 3: Cross multiply
   137,726x = 212,817.50 × 212,817.50
4. Step 4: Simplify right side
   137,726x = 45,291,288,306.25
5. Step 5: Solve for x
   x = 45,291,288,306.25/137,726
6. Step 6: Final answer
   x = 328,850.68