Finding the Third Proportional to 49,611 and 117,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,611 : 117,088.50 = 117,088.50 : x
2. Step 2: Convert to fraction form
   49,611/117,088.50 = 117,088.50/x
3. Step 3: Cross multiply
   49,611x = 117,088.50 × 117,088.50
4. Step 4: Simplify right side
   49,611x = 13,709,716,832.25
5. Step 5: Solve for x
   x = 13,709,716,832.25/49,611
6. Step 6: Final answer
   x = 276,344.30