Finding the Third Proportional to 61,865.50 and 137,897

Step by Step Solution

1. Step 1: Write the proportion equation
   61,865.50 : 137,897 = 137,897 : x
2. Step 2: Convert to fraction form
   61,865.50/137,897 = 137,897/x
3. Step 3: Cross multiply
   61,865.50x = 137,897 × 137,897
4. Step 4: Simplify right side
   61,865.50x = 19,015,582,609
5. Step 5: Solve for x
   x = 19,015,582,609/61,865.50
6. Step 6: Final answer
   x = 307,369.74