Finding the Third Proportional to 137,658 and 212,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,658 : 212,761.50 = 212,761.50 : x
2. Step 2: Convert to fraction form
   137,658/212,761.50 = 212,761.50/x
3. Step 3: Cross multiply
   137,658x = 212,761.50 × 212,761.50
4. Step 4: Simplify right side
   137,658x = 45,267,455,882.25
5. Step 5: Solve for x
   x = 45,267,455,882.25/137,658
6. Step 6: Final answer
   x = 328,839.99