Finding the Third Proportional to 101,424 and 148,380

Step by Step Solution

1. Step 1: Write the proportion equation
   101,424 : 148,380 = 148,380 : x
2. Step 2: Convert to fraction form
   101,424/148,380 = 148,380/x
3. Step 3: Cross multiply
   101,424x = 148,380 × 148,380
4. Step 4: Simplify right side
   101,424x = 22,016,624,400
5. Step 5: Solve for x
   x = 22,016,624,400/101,424
6. Step 6: Final answer
   x = 217,075.09