Finding the Third Proportional to 49,396.50 and 96,302.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,396.50 : 96,302.25 = 96,302.25 : x
2. Step 2: Convert to fraction form
   49,396.50/96,302.25 = 96,302.25/x
3. Step 3: Cross multiply
   49,396.50x = 96,302.25 × 96,302.25
4. Step 4: Simplify right side
   49,396.50x = 9,274,123,355.06
5. Step 5: Solve for x
   x = 9,274,123,355.06/49,396.50
6. Step 6: Final answer
   x = 187,748.59