Finding the Third Proportional to 63,594 and 137,028

Step by Step Solution

1. Step 1: Write the proportion equation
   63,594 : 137,028 = 137,028 : x
2. Step 2: Convert to fraction form
   63,594/137,028 = 137,028/x
3. Step 3: Cross multiply
   63,594x = 137,028 × 137,028
4. Step 4: Simplify right side
   63,594x = 18,776,672,784
5. Step 5: Solve for x
   x = 18,776,672,784/63,594
6. Step 6: Final answer
   x = 295,258.56