Finding the Third Proportional to 139,085 and 208,533

Step by Step Solution

1. Step 1: Write the proportion equation
   139,085 : 208,533 = 208,533 : x
2. Step 2: Convert to fraction form
   139,085/208,533 = 208,533/x
3. Step 3: Cross multiply
   139,085x = 208,533 × 208,533
4. Step 4: Simplify right side
   139,085x = 43,486,012,089
5. Step 5: Solve for x
   x = 43,486,012,089/139,085
6. Step 6: Final answer
   x = 312,657.81