Finding the Third Proportional to 135,097 and 293,978

Step by Step Solution

1. Step 1: Write the proportion equation
   135,097 : 293,978 = 293,978 : x
2. Step 2: Convert to fraction form
   135,097/293,978 = 293,978/x
3. Step 3: Cross multiply
   135,097x = 293,978 × 293,978
4. Step 4: Simplify right side
   135,097x = 86,423,064,484
5. Step 5: Solve for x
   x = 86,423,064,484/135,097
6. Step 6: Final answer
   x = 639,711.20