Finding the Third Proportional to 137,451 and 212,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,451 : 212,827.50 = 212,827.50 : x
2. Step 2: Convert to fraction form
   137,451/212,827.50 = 212,827.50/x
3. Step 3: Cross multiply
   137,451x = 212,827.50 × 212,827.50
4. Step 4: Simplify right side
   137,451x = 45,295,544,756.25
5. Step 5: Solve for x
   x = 45,295,544,756.25/137,451
6. Step 6: Final answer
   x = 329,539.58