Finding the Third Proportional to 218,124 and 461,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   218,124 : 461,398.50 = 461,398.50 : x
2. Step 2: Convert to fraction form
   218,124/461,398.50 = 461,398.50/x
3. Step 3: Cross multiply
   218,124x = 461,398.50 × 461,398.50
4. Step 4: Simplify right side
   218,124x = 212,888,575,802.25
5. Step 5: Solve for x
   x = 212,888,575,802.25/218,124
6. Step 6: Final answer
   x = 975,997.95