Finding the Third Proportional to 64,066 and 137,606

Step by Step Solution

1. Step 1: Write the proportion equation
   64,066 : 137,606 = 137,606 : x
2. Step 2: Convert to fraction form
   64,066/137,606 = 137,606/x
3. Step 3: Cross multiply
   64,066x = 137,606 × 137,606
4. Step 4: Simplify right side
   64,066x = 18,935,411,236
5. Step 5: Solve for x
   x = 18,935,411,236/64,066
6. Step 6: Final answer
   x = 295,561.00