Finding the Third Proportional to 101,880 and 152,820

Step by Step Solution

1. Step 1: Write the proportion equation
   101,880 : 152,820 = 152,820 : x
2. Step 2: Convert to fraction form
   101,880/152,820 = 152,820/x
3. Step 3: Cross multiply
   101,880x = 152,820 × 152,820
4. Step 4: Simplify right side
   101,880x = 23,353,952,400
5. Step 5: Solve for x
   x = 23,353,952,400/101,880
6. Step 6: Final answer
   x = 229,230