Finding the Third Proportional to 101,820 and 152,922

Step by Step Solution

1. Step 1: Write the proportion equation
   101,820 : 152,922 = 152,922 : x
2. Step 2: Convert to fraction form
   101,820/152,922 = 152,922/x
3. Step 3: Cross multiply
   101,820x = 152,922 × 152,922
4. Step 4: Simplify right side
   101,820x = 23,385,138,084
5. Step 5: Solve for x
   x = 23,385,138,084/101,820
6. Step 6: Final answer
   x = 229,671.36