Finding the Third Proportional to 91,980 and 137,160

Step by Step Solution

1. Step 1: Write the proportion equation
   91,980 : 137,160 = 137,160 : x
2. Step 2: Convert to fraction form
   91,980/137,160 = 137,160/x
3. Step 3: Cross multiply
   91,980x = 137,160 × 137,160
4. Step 4: Simplify right side
   91,980x = 18,812,865,600
5. Step 5: Solve for x
   x = 18,812,865,600/91,980
6. Step 6: Final answer
   x = 204,532.13