Finding the Third Proportional to 49,045 and 77,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,045 : 77,713.50 = 77,713.50 : x
2. Step 2: Convert to fraction form
   49,045/77,713.50 = 77,713.50/x
3. Step 3: Cross multiply
   49,045x = 77,713.50 × 77,713.50
4. Step 4: Simplify right side
   49,045x = 6,039,388,082.25
5. Step 5: Solve for x
   x = 6,039,388,082.25/49,045
6. Step 6: Final answer
   x = 123,139.73