Finding the Third Proportional to 67,194 and 102,123

Step by Step Solution

1. Step 1: Write the proportion equation
   67,194 : 102,123 = 102,123 : x
2. Step 2: Convert to fraction form
   67,194/102,123 = 102,123/x
3. Step 3: Cross multiply
   67,194x = 102,123 × 102,123
4. Step 4: Simplify right side
   67,194x = 10,429,107,129
5. Step 5: Solve for x
   x = 10,429,107,129/67,194
6. Step 6: Final answer
   x = 155,208.90