Finding the Third Proportional to 64,665 and 137,156.63

Step by Step Solution

1. Step 1: Write the proportion equation
   64,665 : 137,156.63 = 137,156.63 : x
2. Step 2: Convert to fraction form
   64,665/137,156.63 = 137,156.63/x
3. Step 3: Cross multiply
   64,665x = 137,156.63 × 137,156.63
4. Step 4: Simplify right side
   64,665x = 18,811,939,781.39
5. Step 5: Solve for x
   x = 18,811,939,781.39/64,665
6. Step 6: Final answer
   x = 290,913.78