Finding the Third Proportional to 214,433.50 and 314,486

Step by Step Solution

1. Step 1: Write the proportion equation
   214,433.50 : 314,486 = 314,486 : x
2. Step 2: Convert to fraction form
   214,433.50/314,486 = 314,486/x
3. Step 3: Cross multiply
   214,433.50x = 314,486 × 314,486
4. Step 4: Simplify right side
   214,433.50x = 98,901,444,196
5. Step 5: Solve for x
   x = 98,901,444,196/214,433.50
6. Step 6: Final answer
   x = 461,221.98