Finding the Third Proportional to 137,727.50 and 212,819

Step by Step Solution

1. Step 1: Write the proportion equation
   137,727.50 : 212,819 = 212,819 : x
2. Step 2: Convert to fraction form
   137,727.50/212,819 = 212,819/x
3. Step 3: Cross multiply
   137,727.50x = 212,819 × 212,819
4. Step 4: Simplify right side
   137,727.50x = 45,291,926,761
5. Step 5: Solve for x
   x = 45,291,926,761/137,727.50
6. Step 6: Final answer
   x = 328,851.73