Finding the Third Proportional to 61,856 and 137,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,856 : 137,877.50 = 137,877.50 : x
2. Step 2: Convert to fraction form
   61,856/137,877.50 = 137,877.50/x
3. Step 3: Cross multiply
   61,856x = 137,877.50 × 137,877.50
4. Step 4: Simplify right side
   61,856x = 19,010,205,006.25
5. Step 5: Solve for x
   x = 19,010,205,006.25/61,856
6. Step 6: Final answer
   x = 307,330.01