Finding the Third Proportional to 64,585 and 139,362

Step by Step Solution

1. Step 1: Write the proportion equation
   64,585 : 139,362 = 139,362 : x
2. Step 2: Convert to fraction form
   64,585/139,362 = 139,362/x
3. Step 3: Cross multiply
   64,585x = 139,362 × 139,362
4. Step 4: Simplify right side
   64,585x = 19,421,767,044
5. Step 5: Solve for x
   x = 19,421,767,044/64,585
6. Step 6: Final answer
   x = 300,716.37