Finding the Third Proportional to 43,188 and 58,302

Step by Step Solution

1. Step 1: Write the proportion equation
   43,188 : 58,302 = 58,302 : x
2. Step 2: Convert to fraction form
   43,188/58,302 = 58,302/x
3. Step 3: Cross multiply
   43,188x = 58,302 × 58,302
4. Step 4: Simplify right side
   43,188x = 3,399,123,204
5. Step 5: Solve for x
   x = 3,399,123,204/43,188
6. Step 6: Final answer
   x = 78,705.27