Finding the Third Proportional to 64,064 and 137,969

Step by Step Solution

1. Step 1: Write the proportion equation
   64,064 : 137,969 = 137,969 : x
2. Step 2: Convert to fraction form
   64,064/137,969 = 137,969/x
3. Step 3: Cross multiply
   64,064x = 137,969 × 137,969
4. Step 4: Simplify right side
   64,064x = 19,035,444,961
5. Step 5: Solve for x
   x = 19,035,444,961/64,064
6. Step 6: Final answer
   x = 297,131.70