Finding the Third Proportional to 91,818 and 137,300

Step by Step Solution

1. Step 1: Write the proportion equation
   91,818 : 137,300 = 137,300 : x
2. Step 2: Convert to fraction form
   91,818/137,300 = 137,300/x
3. Step 3: Cross multiply
   91,818x = 137,300 × 137,300
4. Step 4: Simplify right side
   91,818x = 18,851,290,000
5. Step 5: Solve for x
   x = 18,851,290,000/91,818
6. Step 6: Final answer
   x = 205,311.49