Finding the Third Proportional to 50,316 and 107,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,316 : 107,677.50 = 107,677.50 : x
2. Step 2: Convert to fraction form
   50,316/107,677.50 = 107,677.50/x
3. Step 3: Cross multiply
   50,316x = 107,677.50 × 107,677.50
4. Step 4: Simplify right side
   50,316x = 11,594,444,006.25
5. Step 5: Solve for x
   x = 11,594,444,006.25/50,316
6. Step 6: Final answer
   x = 230,432.55