Finding the Third Proportional to 98,662 and 213,088

Step by Step Solution

1. Step 1: Write the proportion equation
   98,662 : 213,088 = 213,088 : x
2. Step 2: Convert to fraction form
   98,662/213,088 = 213,088/x
3. Step 3: Cross multiply
   98,662x = 213,088 × 213,088
4. Step 4: Simplify right side
   98,662x = 45,406,495,744
5. Step 5: Solve for x
   x = 45,406,495,744/98,662
6. Step 6: Final answer
   x = 460,222.74