Finding the Third Proportional to 64,854 and 139,158

Step by Step Solution

1. Step 1: Write the proportion equation
   64,854 : 139,158 = 139,158 : x
2. Step 2: Convert to fraction form
   64,854/139,158 = 139,158/x
3. Step 3: Cross multiply
   64,854x = 139,158 × 139,158
4. Step 4: Simplify right side
   64,854x = 19,364,948,964
5. Step 5: Solve for x
   x = 19,364,948,964/64,854
6. Step 6: Final answer
   x = 298,592.98