Finding the Third Proportional to 67,100 and 137,113

Step by Step Solution

1. Step 1: Write the proportion equation
   67,100 : 137,113 = 137,113 : x
2. Step 2: Convert to fraction form
   67,100/137,113 = 137,113/x
3. Step 3: Cross multiply
   67,100x = 137,113 × 137,113
4. Step 4: Simplify right side
   67,100x = 18,799,974,769
5. Step 5: Solve for x
   x = 18,799,974,769/67,100
6. Step 6: Final answer
   x = 280,178.46