Finding the Third Proportional to 72,590 and 114,070

Step by Step Solution

1. Step 1: Write the proportion equation
   72,590 : 114,070 = 114,070 : x
2. Step 2: Convert to fraction form
   72,590/114,070 = 114,070/x
3. Step 3: Cross multiply
   72,590x = 114,070 × 114,070
4. Step 4: Simplify right side
   72,590x = 13,011,964,900
5. Step 5: Solve for x
   x = 13,011,964,900/72,590
6. Step 6: Final answer
   x = 179,252.86