Finding the Third Proportional to 58,538 and 132,737

Step by Step Solution

1. Step 1: Write the proportion equation
   58,538 : 132,737 = 132,737 : x
2. Step 2: Convert to fraction form
   58,538/132,737 = 132,737/x
3. Step 3: Cross multiply
   58,538x = 132,737 × 132,737
4. Step 4: Simplify right side
   58,538x = 17,619,111,169
5. Step 5: Solve for x
   x = 17,619,111,169/58,538
6. Step 6: Final answer
   x = 300,985.88