Finding the Third Proportional to 49,254.75 and 78,005.53

Step by Step Solution

1. Step 1: Write the proportion equation
   49,254.75 : 78,005.53 = 78,005.53 : x
2. Step 2: Convert to fraction form
   49,254.75/78,005.53 = 78,005.53/x
3. Step 3: Cross multiply
   49,254.75x = 78,005.53 × 78,005.53
4. Step 4: Simplify right side
   49,254.75x = 6,084,862,905.59
5. Step 5: Solve for x
   x = 6,084,862,905.59/49,254.75
6. Step 6: Final answer
   x = 123,538.60