Finding the Third Proportional to 49,915.50 and 120,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,915.50 : 120,460.50 = 120,460.50 : x
2. Step 2: Convert to fraction form
   49,915.50/120,460.50 = 120,460.50/x
3. Step 3: Cross multiply
   49,915.50x = 120,460.50 × 120,460.50
4. Step 4: Simplify right side
   49,915.50x = 14,510,732,060.25
5. Step 5: Solve for x
   x = 14,510,732,060.25/49,915.50
6. Step 6: Final answer
   x = 290,705.93