Finding the Third Proportional to 137,623.50 and 212,698

Step by Step Solution

1. Step 1: Write the proportion equation
   137,623.50 : 212,698 = 212,698 : x
2. Step 2: Convert to fraction form
   137,623.50/212,698 = 212,698/x
3. Step 3: Cross multiply
   137,623.50x = 212,698 × 212,698
4. Step 4: Simplify right side
   137,623.50x = 45,240,439,204
5. Step 5: Solve for x
   x = 45,240,439,204/137,623.50
6. Step 6: Final answer
   x = 328,726.12