Finding the Third Proportional to 95,506 and 147,410

Step by Step Solution

1. Step 1: Write the proportion equation
   95,506 : 147,410 = 147,410 : x
2. Step 2: Convert to fraction form
   95,506/147,410 = 147,410/x
3. Step 3: Cross multiply
   95,506x = 147,410 × 147,410
4. Step 4: Simplify right side
   95,506x = 21,729,708,100
5. Step 5: Solve for x
   x = 21,729,708,100/95,506
6. Step 6: Final answer
   x = 227,521.92