Finding the Third Proportional to 65,106 and 139,428

Step by Step Solution

1. Step 1: Write the proportion equation
   65,106 : 139,428 = 139,428 : x
2. Step 2: Convert to fraction form
   65,106/139,428 = 139,428/x
3. Step 3: Cross multiply
   65,106x = 139,428 × 139,428
4. Step 4: Simplify right side
   65,106x = 19,440,167,184
5. Step 5: Solve for x
   x = 19,440,167,184/65,106
6. Step 6: Final answer
   x = 298,592.56