Finding the Third Proportional to 61,870 and 137,906

Step by Step Solution

1. Step 1: Write the proportion equation
   61,870 : 137,906 = 137,906 : x
2. Step 2: Convert to fraction form
   61,870/137,906 = 137,906/x
3. Step 3: Cross multiply
   61,870x = 137,906 × 137,906
4. Step 4: Simplify right side
   61,870x = 19,018,064,836
5. Step 5: Solve for x
   x = 19,018,064,836/61,870
6. Step 6: Final answer
   x = 307,387.50