Finding the Third Proportional to 98,752 and 215,008

Step by Step Solution

1. Step 1: Write the proportion equation
   98,752 : 215,008 = 215,008 : x
2. Step 2: Convert to fraction form
   98,752/215,008 = 215,008/x
3. Step 3: Cross multiply
   98,752x = 215,008 × 215,008
4. Step 4: Simplify right side
   98,752x = 46,228,440,064
5. Step 5: Solve for x
   x = 46,228,440,064/98,752
6. Step 6: Final answer
   x = 468,126.62