Finding the Third Proportional to 50,353 and 117,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,353 : 117,602.50 = 117,602.50 : x
2. Step 2: Convert to fraction form
   50,353/117,602.50 = 117,602.50/x
3. Step 3: Cross multiply
   50,353x = 117,602.50 × 117,602.50
4. Step 4: Simplify right side
   50,353x = 13,830,348,006.25
5. Step 5: Solve for x
   x = 13,830,348,006.25/50,353
6. Step 6: Final answer
   x = 274,667.81