Finding the Third Proportional to 98,663 and 213,090

Step by Step Solution

1. Step 1: Write the proportion equation
   98,663 : 213,090 = 213,090 : x
2. Step 2: Convert to fraction form
   98,663/213,090 = 213,090/x
3. Step 3: Cross multiply
   98,663x = 213,090 × 213,090
4. Step 4: Simplify right side
   98,663x = 45,407,348,100
5. Step 5: Solve for x
   x = 45,407,348,100/98,663
6. Step 6: Final answer
   x = 460,226.71