Finding the Third Proportional to 100,841.50 and 214,931

Step by Step Solution

1. Step 1: Write the proportion equation
   100,841.50 : 214,931 = 214,931 : x
2. Step 2: Convert to fraction form
   100,841.50/214,931 = 214,931/x
3. Step 3: Cross multiply
   100,841.50x = 214,931 × 214,931
4. Step 4: Simplify right side
   100,841.50x = 46,195,334,761
5. Step 5: Solve for x
   x = 46,195,334,761/100,841.50
6. Step 6: Final answer
   x = 458,098.45