Finding the Third Proportional to 42,958 and 87,123

Step by Step Solution

1. Step 1: Write the proportion equation
   42,958 : 87,123 = 87,123 : x
2. Step 2: Convert to fraction form
   42,958/87,123 = 87,123/x
3. Step 3: Cross multiply
   42,958x = 87,123 × 87,123
4. Step 4: Simplify right side
   42,958x = 7,590,417,129
5. Step 5: Solve for x
   x = 7,590,417,129/42,958
6. Step 6: Final answer
   x = 176,693.91