Finding the Third Proportional to 218,361 and 462,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   218,361 : 462,967.50 = 462,967.50 : x
2. Step 2: Convert to fraction form
   218,361/462,967.50 = 462,967.50/x
3. Step 3: Cross multiply
   218,361x = 462,967.50 × 462,967.50
4. Step 4: Simplify right side
   218,361x = 214,338,906,056.25
5. Step 5: Solve for x
   x = 214,338,906,056.25/218,361
6. Step 6: Final answer
   x = 981,580.53