Finding the Third Proportional to 139,086 and 208,534

Step by Step Solution

1. Step 1: Write the proportion equation
   139,086 : 208,534 = 208,534 : x
2. Step 2: Convert to fraction form
   139,086/208,534 = 208,534/x
3. Step 3: Cross multiply
   139,086x = 208,534 × 208,534
4. Step 4: Simplify right side
   139,086x = 43,486,429,156
5. Step 5: Solve for x
   x = 43,486,429,156/139,086
6. Step 6: Final answer
   x = 312,658.56