Finding the Third Proportional to 48,858.19 and 77,427.56

Step by Step Solution

1. Step 1: Write the proportion equation
   48,858.19 : 77,427.56 = 77,427.56 : x
2. Step 2: Convert to fraction form
   48,858.19/77,427.56 = 77,427.56/x
3. Step 3: Cross multiply
   48,858.19x = 77,427.56 × 77,427.56
4. Step 4: Simplify right side
   48,858.19x = 5,995,027,434.69
5. Step 5: Solve for x
   x = 5,995,027,434.69/48,858.19
6. Step 6: Final answer
   x = 122,702.62