Finding the Third Proportional to 49,082 and 78,047

Step by Step Solution

1. Step 1: Write the proportion equation
   49,082 : 78,047 = 78,047 : x
2. Step 2: Convert to fraction form
   49,082/78,047 = 78,047/x
3. Step 3: Cross multiply
   49,082x = 78,047 × 78,047
4. Step 4: Simplify right side
   49,082x = 6,091,334,209
5. Step 5: Solve for x
   x = 6,091,334,209/49,082
6. Step 6: Final answer
   x = 124,105.26