Finding the Third Proportional to 70,697 and 148,665

Step by Step Solution

1. Step 1: Write the proportion equation
   70,697 : 148,665 = 148,665 : x
2. Step 2: Convert to fraction form
   70,697/148,665 = 148,665/x
3. Step 3: Cross multiply
   70,697x = 148,665 × 148,665
4. Step 4: Simplify right side
   70,697x = 22,101,282,225
5. Step 5: Solve for x
   x = 22,101,282,225/70,697
6. Step 6: Final answer
   x = 312,619.80