Finding the Third Proportional to 72,758 and 112,138

Step by Step Solution

1. Step 1: Write the proportion equation
   72,758 : 112,138 = 112,138 : x
2. Step 2: Convert to fraction form
   72,758/112,138 = 112,138/x
3. Step 3: Cross multiply
   72,758x = 112,138 × 112,138
4. Step 4: Simplify right side
   72,758x = 12,574,931,044
5. Step 5: Solve for x
   x = 12,574,931,044/72,758
6. Step 6: Final answer
   x = 172,832.28