Finding the Third Proportional to 64,301 and 139,294

Step by Step Solution

1. Step 1: Write the proportion equation
   64,301 : 139,294 = 139,294 : x
2. Step 2: Convert to fraction form
   64,301/139,294 = 139,294/x
3. Step 3: Cross multiply
   64,301x = 139,294 × 139,294
4. Step 4: Simplify right side
   64,301x = 19,402,818,436
5. Step 5: Solve for x
   x = 19,402,818,436/64,301
6. Step 6: Final answer
   x = 301,749.87