Finding the Third Proportional to 137,466 and 212,847.75

Step by Step Solution

1. Step 1: Write the proportion equation
   137,466 : 212,847.75 = 212,847.75 : x
2. Step 2: Convert to fraction form
   137,466/212,847.75 = 212,847.75/x
3. Step 3: Cross multiply
   137,466x = 212,847.75 × 212,847.75
4. Step 4: Simplify right side
   137,466x = 45,304,164,680.06
5. Step 5: Solve for x
   x = 45,304,164,680.06/137,466
6. Step 6: Final answer
   x = 329,566.33