Finding the Third Proportional to 101,338 and 156,928

Step by Step Solution

1. Step 1: Write the proportion equation
   101,338 : 156,928 = 156,928 : x
2. Step 2: Convert to fraction form
   101,338/156,928 = 156,928/x
3. Step 3: Cross multiply
   101,338x = 156,928 × 156,928
4. Step 4: Simplify right side
   101,338x = 24,626,397,184
5. Step 5: Solve for x
   x = 24,626,397,184/101,338
6. Step 6: Final answer
   x = 243,012.47